T R A D S R A T γ , c − 1 = T R A D S R A T γ , c − 1 t − 1 ∗ A n a l F u n c ( G D P P C P γ ) A n a l F u n c ( G D P P C P γ t − 1 ) + C u l t S h T S γ − c u l t u r a l t + t r a d s r a t a d d γ t {\displaystyle TRADSRAT_{\gamma ,c-1}=\mathbf {TRADSRAT} _{\gamma ,c-1}^{t-1}*{\frac {AnalFunc(GDPPCP_{\gamma })}{AnalFunc(GDPPCP_{\gamma }^{t-1})}}+\mathbf {CultShTS} _{\gamma -cultural}^{t}+\mathbf {tradsratadd} _{\gamma }^{t}}
where
C u l t S h T S γ − c u l t u r a l t = F ( T R A D S R A T γ , c − 1 t − 1 , A n a l F u n c ( G D P P C P γ t − 1 ) {\displaystyle \mathbf {CultShTS} _{\gamma -cultural}^{t}=F(\mathbf {TRADSRAT} _{\gamma ,c-1}^{t-1},AnalFunc(GDPPCP_{\gamma }^{t-1})}