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SURVSEγ,c1=𝐒𝐔𝐑𝐕𝐒𝐄γ,c1t1*AnalFunc(GDPPCPγ)AnalFunc(GDPPCPγt1)+𝐂𝐮𝐥𝐭𝐒𝐡𝐒𝐄γculturalt+𝐬𝐮𝐫𝐯𝐬𝐞𝐚𝐝𝐝γ𝐭

where

CultShSEγculturalt=F(𝐒𝐔𝐑𝐕𝐒𝐄γ,c1t1,AnalFunc(GDPPCPγt1)