Dokumentation og international benchmarking af bygge - Danmarks ...

Constructioncomponent bConstructioncomponent 1Constructioncomponent 2Constructioncomponent 3Weight of theconstructioncomponent q bctIndex for construction component I bcrOct. 2007 Apr. 2008 Oct.= t 0200830 % 100.00 97.67 99.6360 % 100.00 103.25 104.1210 % 100.00 101.03 101.54100 %Regional Index for construction typet(weighted average)I cr100.00 101.35 102.52National index perconstruction TypeThe following step is the aggregation of regional indices of one constructiontype to national index for the respective construction type. Nationalindex for construction type c for period t is:RttIc= ∑ qrc× Icrr=1where q rcis the weight of the region r for construction type c.Region rRegional weightsqrctRegional Index I crOkt. 2007= t 0Apr. 2008 Okt.2008Region 1 20 % 100.00 101.35 102.52Region 2 45 % 100.00 102.84 103.08Region 3 35 % 100.00 100.57 100.79100 %National Index for construction typetI c(weighted average)100.00 101.75 102.17Finally, the total index for the whole construction sector and whole regionis calculated by aggregation of the indices of different construction types:tI = q × IrC∑c=1crtcrwhere q cris the weight of the construction type c for region c.83