CITIES NETWORKS THROUGH MULTINATIONALS FIRMS NETWORKS: A MULTI-LEVEL GRAPH APPROACH. 15TH European Colloquium on Theoretical and Quantitative Geography September 7-11, 2007, Montreux, Switzerland Charles BOHAN Δ , Bérengère GAUTIER ¥, Céline ROZENBLATΨ , David AUBER x, Pierre-Yves KOENIG ө Δ CEFRES - Prague (Czech Republic) ¥ UMR ESPACE – Montpellier (France) Ψ IGUL - University of Lausanne (Switzerland) X LABRI – Bordeaux (France) ө LIRMM – Montpellier (France) ABSTRACT In this paper we purpose a multi-level approach of cities network development through multinationals firm networks. We emphasize the complex global / local relationships through an original methodology developed with SPANGEO group research support. The use of specialized software as TULIP helps us to create graphs constituted of mass data basis. Nowadays, we are able to propose an original vision of the relation structured by multinational firm networks in the global cities network. We will use this study in parallel within two economic sectors and in two geographical areas: the agro-alimentary sector in Europe and in the south of the Mediterranean (Gautier, 2005) and the motor industry sector in Europe and Central and Eastern Europe (Bohan, 2005). On a first step, we will highlight the governance mode of each firm with their subsidiaries network. On this first individual network we will collect measures for each firm allowing us to compare individual firm networks and their strategies. Starting with this first individual network, in a second step, we build a cities network based on the affiliation network. This step allows us to highlight their territorial strategy and to put each city in the context of global strategies of each firm. Finally, we will compare our results for each firm with a collective cities network formed by the whole of our studied firms according to their economic sector. With this kind of graph, we can see and compare several sectorial networks localized in many cities of the world. From a new clustering plug-in, the inner and outer cities network scale is readable. This stage will enable us to include the way the firm links its network at the intra-urban and inter-urban level, underlining the properties of cities’ inter and intra connections in the firms networks. KEYWORDS Multinationals firms networks, Cities network, Territorial development, Multi-level approach. INTRODUCTION To ensure the perenniality of the firms, the strategies of localization must guarantee their competitiveness. The phenomenon of internationalization and acceleration of the exchanges due to the development of NICT impose an increased flexibility for firms (Castells, 2001; Veltz, 2000; Rozenblat, 2004). In response to these new requirements, the relational efficiency between the units which compose the firm is posed like an essential element of their competitiveness (Veltz, 2000; Doz, Santos and Williamson, 2001). The search for economies of scale of the firms leads to a strong concentration of the foreign activities within the cities which, thanks to their capacity to generate economies of agglomeration, offer the services necessary to a good coordination of the enterprise in its network (Veltz, 2000; Doz, Santos and Williamson, 2001). The economies of location are formed on two geographical scales which are articulated between them: an intra-urban scale by economies of agglomeration and an inter-urban scale thanks to the externalities offered by the networks (Veltz, 2000; Doz, Santos and Williamson, 2001) named economies of networks by Rozenblat (2004). It is demonstrated that the choices of location of the multinational firms are more and more carried out between the cities themselves (Veltz, 2001). We will use this study in parallel within two economic sectors and in two geographical areas: the agro-alimentary sector in Europe and in the south of the Mediterranean (Gautier, 2005) and the motor industry sector in Europe and Central and Eastern Europe (Bohan, 2005). How are the firms organized? What are their spatial strategies? Which are the attractive factors of the cities to position them in specific place in the firms’ networks? 1. Individual firm network analysis As a first step, we realize original graphs of individual multinational firm networks, which are directed and hierarchical, from the ORBIS data basis completed with information relayed in firm management reports. These graphs allow to observe the power repartition between the multinational firm units (Headquarters, affiliates, relayed affiliates). Here, the nodes (units) represent the companies forming each group and the edges represent the orientation of hierarchical subsidiaries between them (each affiliation is weighted by the percentage of owners). In computing language, we obtain directed acyclic graphs (DAG). These DAG allow an optimal visualization accessible in two ways: hierarchical representation (figure 1) and Gem frick (figure 2), here associated with the betweeness centrality metric. Figure 1: The Fiat s.p.a individual network Figure 2: The Fiat s.p.a individual network (2005) with company names labels (hierarchical) with company localization labels (Gem frick) These kinds of graphs inform us about the spatial coverage of each studied firm and also about its multinationalization degree (Mucchielli, 1998). Many combinations are possible to enrich these graphs (Rozenblat, 2004, p.62 to 66). Here, we try to find new ways to conceive diverse firm network vizualizations showing the organizational structures and individual firm management. Many metrics available in the software, allow us to enlighten particular aspects of networks as betweeness centrality who reveal the nodes concentration of shortest ways (Figure 1 and 2), Degree that shows the number of connections (headquarters or subsidiaries connections) or also Strahler that is able to select the governing network (Auber and al. 2003, 2004, 2005). 2. Analysis of each firm network aggregated by cities Following this first perspective, we create new firm networks aggregated by cities, or more simply, a city network of an individual firm. This new form of graph reveals the cities governance for each firm on the contrary of the companies’ governance. By this graphical approach, the nodes represent the cities and the edges inform us about the multi-level power relations between these cities, so that they represent their inter-urban relations (figure 3). In this condition several affiliates of one group can be localized in one city. So, on each node of our initial network (figure 3), each city becomes a displayed cluster composed of an intra-city firm network (figure 4). Figure 3: The Fiat s.p.a cities network: inter urban relations Figure 4: The Fiat s.p.a intra urban relations in Turin This project allows urban framework visualization of an individual firm network. The inter-urban relations of a company ensure an exogenous regard of the cities hierarchy (figure 3) joined with the endogenous regard of the inner-cities relations (figure 4). We distinguish relayed or intermediary cities but we can also make out the cities specializations into the group value chain indicating the precise activity codes of each unit of the group (NACE codes). 3. Analysis of sector-based networks aggregated by cities This process can be applicable to sector-based networks. In fact, it’s possible to agglomerate several firms in the same graph and then to obtain the cities network of the firms issued of one particular sector (Motor industry or agro-alimentary sector here). We will be able to distinguish the common cities in their affiliates or Headquarters plant choices and where the several concurrent companies networks join, by separating networks of each group (company) by colors. This kind of graph can inform us about the firm plant choices and about their location choices according to economies of agglomeration, or to economies of networks composed by hierarchy of cities’ power and by international work division between cities. We will be able to distinguish the functional specializations of each city (industry type, finance, management, etc.) and replace it within all the cities network of each sector. CONCLUSION A competition is thus established between cities for their world integration (Lever and Turok, 1999). To understand the networks integration processes, it is necessary to include these reticular processes both for the firms and the cities levels (Veltz, 2001). Our proposal to show multinational firm networks at this two levels, offers an original way to define the particular role of cities in the firm multinationalization process and clear up the importance of multinationals firm networks in cities globalization. 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