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Synthesis Report - European Commission - Europa

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Ex-post Evaluation of the ERDF 2000-2006<br />

<strong>Synthesis</strong> <strong>Report</strong><br />

Box The mean logarithmic deviation index<br />

The mean logarithmic deviation index is defined as:<br />

1<br />

I =<br />

n<br />

∑<br />

i<br />

ln<br />

⎛ μ<br />

⎟ ⎞<br />

⎜<br />

⎝ y ⎠<br />

i<br />

Where n is the number of observations, μ is the average GDP per head, and yi is the GDP per head<br />

of a region i.<br />

In calculating the index, each region is weighted by its population in order to allow explicitly for<br />

the large variation which exists in the size of regions and to give a more accurate measure of<br />

regional disparities across the EU. This is important since unweighted indices, which are often<br />

used, show significantly different changes. Other measures of disparity, such as the standard<br />

deviation or variance show similar results, so long as they are population weighted.<br />

This overall reduction in disparities was a result primarily of the catching up of regions in the<br />

EU10 countries where in both periods, as seen above, GDP growth was much higher than in the<br />

EU15. If regions in the EU15 and the EU10 are considered separately, the change over the period<br />

was less clear-cut.<br />

Table 2.5 Dispersion of GDP per head in PPS between NUTS 2 regions in the EU25, 1995, 2000<br />

and 2006<br />

Mean log deviation index<br />

1995 2000 2006<br />

IE 1.6 2.2 1.9<br />

NL 0.7 0.9 1.0<br />

AT 2.7 2.3 1.8<br />

SE 0.9 1.7 1.6<br />

UK 3.6 5.0 5.4<br />

BE 5.0 5.2 5.2<br />

DE 2.7 2.7 2.4<br />

FI 1.1 1.7 1.3<br />

FR 3.0 3.4 3.2<br />

ES 2.3 2.6 2.0<br />

IT 4.1 4.0 3.8<br />

GR 3.0 2.4 4.2<br />

PT 2.4 2.9 2.9<br />

EU15 3.8 3.9 3.7<br />

CZ 2.5 4.5 5.3<br />

HU 4.0 6.4 8.5<br />

SK 5.9 6.0 8.0<br />

PL 1.4 2.5 3.1<br />

EU10 4.9 4.9 5.5<br />

EU25 8.3 7.5 6.3<br />

Note: Countries are ordered within the EU15 and EU10 according to<br />

GDP per head in PPS terms in 2006.<br />

Source: Estimates based on Eurostat, Regional Accounts<br />

57

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