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Multi-agent systems for modelling the dynamics of interacting cities: the case of Europe 1950-2050 Lena Sanders, Hélène Mathian UMR Géographie-cités CNRS – University Paris 1 – University Paris 7 Dresden, ECCS’07, 1-6 oct 2007
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SimPop group: A. Bretagnolle J-M Favaro B. Glisse ( LIP6) T. Louail H. Mathian D. Pumain L. Sanders C. Vacchiani UMR Géographie-cités European Projects: -ISCOM (dir: D. Lane) -TiGrESS (dir: N. Winder) Scientific background www.parisgeo.cnrs.fr/simpop/
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From human-agent to city-agent In most applications in social sciences: the agent = an individual (farmer, consumer..) or a household In SimPop, EUROSIM Agent = a town, a city Source: Ferber
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The city-agent Underlying hypotheses: - the driving force of a city’s dynamics: the interactions which link the city to the other ones rather than the specific features and events occurring within the city itself, even if the two are not independent - the role of the context: relative location, size, wealth, specialization of a city is more determining for understanding the way exchanges are functioning than the more specific mechanism underlying an economic actor’s behaviour. the city-agent does not : - represent an individual actor (as a mayor), - neither an average (there is such a diversity of agents that an average has no meaning), - neither a representative actor in the classical sense. It represents rather the resultant of a diversity of behaviours. The city is seen as an indivisible collective entity rather than a simple receptacle
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Aim of the EUROSIM model Use simulation in order to explore the past and future evolution of European cities during a period of 100 years: 1950 to 2050 Test scenarios according to different policies: - demography: opened or closed Europe in matter of immigration - economy: presence or absence of barriers between European blocks (East and West)
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The EUROSIM model: 2 types of agents
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Involved urban theories Central place theory: a hierarchy of urban functions associated to different ranges Economic base theory: the highly specialized exporting activities are the driving one Agglomeration economies Innovation cycles path dependence
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One iteration (one year) in the model Network building Information exchanges between cities Transactions Evaluation of change Wealth, Population, Labour composition * * Stop criterion: no more demand for remaining supply, no more supply for remaining demand Updating of the economical and demographical situation t t+1: Updating of the variables Initialization of the variables (observed 1950) The market
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Main variables - State variables : Population, Wealth, Labor force by sector - Conjonctural variables (exogenous):. Demographical: global growth rate -Observed for 1950-2000 -Forecasts of IIASA for 2000-2050. Economical: Productivity, Demand, Added value, by sector of activity - Intermediate variables: size of the networks, unsold goods, unsatisfied demand…
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Key parameters: 3 families the network building k network size criterium c stability criterium: % of valuable customer the response of the cities to the return of the market e speed of adjustment of the labor force us, wg sensitivity of growth to unsold goods, resp. gain or lost of wealth the barriers on the international exchanges f barrier effects of boundaries
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Computing of change Hyp: economical success drives demographic dynamics Change is computed at the level of each city according to the results of the market exchanges wealth: change as a direct consequence of transfer of wealth corresponding to the effective transactions Population change: 2 mechanisms - direct, as a response to the balance of exchange:. increase of the labor force of a sector if there is an unsatisfied demand. decrease of the labor force of a sector if there are unsold goods - indirect : growth rate of the city dependent on the balance of exchange (increased if there is a gain of wealth, decreased if there is a lost of wealth)
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Network building from potential to effective transactions 1. the potential networks of exchanges of each city possible exchanges - spatial and/or territorial proximity : - selectivity 2. The networks of information exchanges 3. The networks of effective transactions
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Different specializations with associated ranges and selectivity criteria
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The potential of exchange of a city depends on the density of the local urban network Potential networks of exchange : the Central 2 function :
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Evolving ranges change the local context: an example
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Potential networks of exchange : the Manufacturing2 function
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potential network Valuable customers from preceding periods (parameter c) Random selection according to selectivity criteria associated to « S » Building the networks of information exchanges for a city “i” for a product “S”: a 2 steps random selection Random selection until: demand of selected cities < k. supply of city « i »
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For a given time period, one network: - per product - per city Consequence: Overlapping of sets of networks competition The two roles of the city-agent
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3rd step: the networks of transactions The example of Warsawa: 3 specializations
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Size of the networks are evolving through time Examples of Manchester and Glasgow
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Zoom on the simulated transactions of Manchester and Glasgow with 4 cities of their networks of exchange (manufacturing2) A diversity of situations
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Running of the model: three stages 1. Testing the sensitivity of the model : To events To variations in the conjonctural variables To initial conditions To variations in the values of the key parameters 2. Calibrating the model using the period 1950-1990 3. Testing scenarios on the evolution of the European urban system by 2050
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Sensitivity testing Effect of a higher speed of adjustment of the labor force on the evolution of the sector of finance
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Scenarios: The intervals of possible futures Full barrierNo barrier effects Declining Europe with no immigration LF0LF1 Open and dynamic Europe HF0HF1 Barrier (key parameter) Demographic features Conjonctural variables
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Outputs according to 2 extreme scenarios: Stability at the macro-level (rank-size distribution)
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Outputs according to the four scenarios Total urban population at the level of the three geographical blocks
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Diversity of responses to the different scenarios at city level
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Barriers affect differently the cities: an example Exchanges maintain in the scenario with barriers, and fall in the scenario without
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barriersno barriers
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Concluding remarks on the Interest of the MAS formalization compared to a classical aggregate model of cities’ dynamics Size and composition of the exchange networks are not pre- determined Combination of networking principles with spatial proximity principles Flexibility for a multi-scalar approach -Presented scenarios:- exogenous demographic variables (global change) - parameter f -Future scenarios: change at the local level of the city (testing role of governance)
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