Clusters in weighted macroeconomic networks: the EU case. Introducing the overlapping index of GDP/capita fluctuation correlations
National College Roman Voda, Roman-5550, Neamt, Romania
2 GRAPES, Université de Liège, B5 Sart-Tilman, 4000 Liège, Belgium
Revised: 6 March 2008
Published online: 8 May 2008
GDP/capita correlations are investigated in various time windows (TW), for the time interval 1990-2005. The target group of countries is the set of 25 EU members, 15 till 2004 plus the 10 countries which joined EU later on. The TW-means of the statistical correlation coefficients are taken as the weights (links) of a fully connected network having the countries as nodes. Thereafter we define and introduce the overlapping index of weighted network nodes. A cluster structure of EU countries is derived from the statistically relevant eigenvalues and eigenvectors of the adjacency matrix. This may be considered to yield some information about the structure, stability and evolution of the EU country clusters in a macroeconomic sense.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees / 89.65.Gh – Economics; econophysics, financial markets, business and management / 87.23.Ge – Dynamics of social systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008