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ISSN: 2247-6172;<br />

ISSN-L: 2247-6172<br />

Review <strong>of</strong> Applied Socio- Economic Research<br />

(Volume 5, Issue 1/ 2013 ), pp. 186<br />

URL: http://www.reaser.eu<br />

e-mail: editors@reaser.eu<br />

<strong>the</strong> economies (nodes) evolved over time <strong>in</strong> <strong>the</strong> tree, we <strong>in</strong>troduce two additional distance measures: Mean<br />

Distance <strong>and</strong> Network Diameter. Distance between two nodes is <strong>the</strong> length <strong>of</strong> number <strong>of</strong> l<strong>in</strong>ks <strong>in</strong> <strong>the</strong> shortest<br />

path or geodesic between <strong>the</strong>m. Thus Mean Distance is def<strong>in</strong>ed as <strong>the</strong> average geodesic distance between any<br />

pair <strong>of</strong> nodes <strong>and</strong> Network Diameter as <strong>the</strong> largest geodesic distance between any pair <strong>of</strong> nodes <strong>in</strong> a network.<br />

The evolution <strong>of</strong> both distances is depicted <strong>in</strong> figure 5.<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007<br />

23<br />

21<br />

19<br />

17<br />

15<br />

13<br />

11<br />

9<br />

1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007<br />

MD nodich1952‐73<br />

MD nodich1974‐95<br />

DIA nodich1952‐73<br />

DIA nodich1974‐95<br />

MD nodich1996‐2011<br />

MD dich1952‐2011<br />

DIA nodich1996‐2011<br />

DIA dich1952‐2011<br />

Fig. 5 - Left: Mean Distance; Right: Network diameter<br />

It is straightforward that even though <strong>the</strong>se series display greater bounded volatility than NTL <strong>and</strong> AWD.<br />

This derives from <strong>the</strong> <strong>in</strong>terplay <strong>of</strong> three effects: <strong>the</strong> constra<strong>in</strong>t upon tree formation, subject to 1 l<strong>in</strong>ks;<br />

<strong>the</strong> evolution <strong>of</strong> l<strong>in</strong>k average length (as displayed <strong>in</strong> fig 3 - right); <strong>and</strong> tree centrality. The measures are<br />

presented <strong>in</strong> both figures with <strong>and</strong> without dichotomiz<strong>in</strong>g <strong>the</strong> l<strong>in</strong>ks, i.e. with <strong>and</strong> without weight<strong>in</strong>g for <strong>the</strong><br />

distances between <strong>the</strong> nodes. For example, <strong>in</strong> 2010 <strong>the</strong> mean distance between any pair <strong>of</strong> nodes was below<br />

4, even though <strong>in</strong> that year <strong>the</strong> average path between any pair <strong>of</strong> l<strong>in</strong>ks rose almost to 10 l<strong>in</strong>ks. In essence, <strong>the</strong><br />

slight downward trend observed <strong>in</strong> both <strong>in</strong>dicators was motivated by <strong>the</strong> sharp decl<strong>in</strong>e <strong>in</strong> NTL between 1998<br />

<strong>and</strong> 2010, even though <strong>in</strong> this period <strong>the</strong> tree has become less centralized.<br />

These results suggest that a simple <strong>and</strong> comprehensive measure for <strong>the</strong> level <strong>of</strong> <strong>in</strong>terdependence would<br />

be to def<strong>in</strong>e it as <strong>the</strong> <strong>in</strong>verse <strong>of</strong> NTL. Follow<strong>in</strong>g this perspective, this paper shows that network<br />

<strong>in</strong>terdependence has <strong>in</strong>creased consistently <strong>in</strong> <strong>the</strong> phase 1952-1973, reach<strong>in</strong>g a local maximum (NTL<br />

m<strong>in</strong>imum) <strong>in</strong> 1976, <strong>and</strong> accelerated remarkably <strong>in</strong> <strong>the</strong> phase 1996-2011, <strong>in</strong>creas<strong>in</strong>g over 61% between 1998<br />

<strong>and</strong> 2010 <strong>and</strong> reach<strong>in</strong>g a global maximum (NTL m<strong>in</strong>imum) <strong>in</strong> 2010. These results st<strong>and</strong> <strong>in</strong> l<strong>in</strong>e with <strong>the</strong> vast<br />

majority <strong>of</strong> empirical studies on <strong>in</strong>ternational bus<strong>in</strong>ess cycles synchronization, which reports a secular trend<br />

towards synchronization (Artis et al. 2011, Bordo <strong>and</strong> Helbl<strong>in</strong>g 2011, Antonakakis 2012). This paper<br />

f<strong>in</strong>d<strong>in</strong>gs also support <strong>the</strong> view <strong>of</strong> an unprecedented level <strong>of</strong> synchronicity between major economies dur<strong>in</strong>g<br />

<strong>the</strong> great recession <strong>of</strong> 2007-2009, as shown by Banerji <strong>and</strong> Dua (2010), Imbs (2010) <strong>and</strong> Kuz<strong>in</strong> <strong>and</strong><br />

Hillebr<strong>and</strong> (2009), although I present evidence that this process is broader <strong>in</strong> time (1998-2010) <strong>and</strong> <strong>in</strong> depth,<br />

as NTL drop from 0.83 <strong>in</strong> 1998 to 0.53 positioned <strong>the</strong> world 1/3 closer to complete economic<br />

synchronization (zero geodesic distance).<br />

5. Conclusion<br />

This paper shows that global macroeconomic <strong>in</strong>terdependence rose over 61% dur<strong>in</strong>g <strong>the</strong> period 1952-<br />

2011, which is <strong>in</strong> l<strong>in</strong>e with <strong>the</strong> majority <strong>of</strong> empirical research on bus<strong>in</strong>ess cycle synchronization. However,<br />

an accelerat<strong>in</strong>g convergence process is revealed dur<strong>in</strong>g <strong>the</strong> phase 1996-2011 that exceeds results from<br />

previous studies.<br />

I f<strong>in</strong>d <strong>the</strong> core <strong>of</strong> <strong>the</strong> global economic network to be dom<strong>in</strong>ated by advanced economies while <strong>the</strong><br />

periphery is composed by nearly all <strong>of</strong> <strong>the</strong> develop<strong>in</strong>g economies <strong>and</strong> some <strong>of</strong> <strong>the</strong> emergent market<br />

economies. Emergent economies tend to cluster predom<strong>in</strong>antly accord<strong>in</strong>g to geographical position, enter<strong>in</strong>g

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