Table 8 Main econometric relationships

${\mathrm{sca}}_1$, ${\mathrm{sra}}_2$, ${\mathrm{sra}}_4$, ${\mathrm{sra}}_9$, $log({\mathrm{sra}}_{10})$

$\mathrm{d}(\mathrm{y})={\mathrm{a}}_0+{\mathrm{a}}_1\ast \mathrm{y}(-1)$, with possible ${\mathrm{a}}_1\ast \mathrm{y}(-3)$ or ${\mathrm{a}}_2\ast \mathrm{d}(\mathrm{y},2)$

${\mathrm{sca}}_8$, ${\mathrm{sca}}_{10}$

$\mathrm{d}(\mathrm{y})={\mathrm{b}}_0+{\mathrm{b}}_1\ast \mathrm{y}(-1)+{\mathrm{b}}_2\ast \mathrm{t}/(\mathrm{t}+1)$, with possible ${\mathrm{b}}_0=0$

${\mathrm{sca}}_2$, ${\mathrm{sra}}_3$, ${\mathrm{sra}}_5\mathrm{HPd}$

$\mathrm{d}(\mathrm{y})={\mathrm{c}}_0+{\mathrm{c}}_1\ast \mathrm{y}(-1)+{\mathrm{c}}_2\ast \mathrm{d}(\mathrm{y}(-1))$, with possible ${\mathrm{c}}_0=0$ or ${\mathrm{c}}_1\ast \mathrm{y}(-2)$

${\mathrm{sca}}_5$, ${\mathrm{sca}}_6$, ${\mathrm{sca}}_9$

$\mathrm{d}(\mathrm{y})={\mathrm{d}}_0+{\mathrm{d}}_1\ast \mathrm{y}(-1)+{\mathrm{d}}_2\ast \mathrm{d}(\mathrm{y}(-1))+{\mathrm{d}}_3\ast \mathrm{d}(\mathrm{y}(-2))+{\mathrm{d}}_4\ast \mathrm{t}/(\mathrm{t}+1)$, with possible ${\mathrm{d}}_3=0$

${\mathrm{sra}}_8\mathrm{HP}$, ${\mathrm{sra}}_8\mathrm{HPd}$

$\mathrm{d}(\mathrm{y})={\mathrm{e}}_0+{\mathrm{e}}_1\ast \mathrm{y}(-1)+{\mathrm{e}}_2\ast \mathrm{d}(\mathrm{y},2)$, with possible ${\mathrm{e}}_0={\mathrm{e}}_1=0$

${\mathrm{sca}}_7$, ${\mathrm{sra}}_5\mathrm{HP}$

$\mathrm{d}(\mathrm{y})={\mathrm{f}}_0+{\mathrm{f}}_1\ast \mathrm{y}(-1)+{\mathrm{f}}_2\ast \mathrm{d}(\mathrm{y}(-1))+{\mathrm{f}}_3\ast \mathrm{d}(\mathrm{y}(-2))+{\mathrm{f}}_4\ast \mathrm{d}(\mathrm{y}(-3))+{\mathrm{f}}_5\ast \mathrm{t}/(\mathrm{t}+1)$ with possible ${\mathrm{f}}_3={\mathrm{f}}_4={\mathrm{f}}_5=0$

${\mathrm{sra}}_1$, ${\mathrm{sra}}_6$

$\mathrm{d}(\mathrm{y})={\mathrm{g}}_0+{\mathrm{g}}_1\ast \mathrm{y}(-1)+{\mathrm{g}}_2\ast \mathrm{d}(\mathrm{y}(-1))+{\mathrm{g}}_3\ast {\mathrm{t}}^{-1}$, with possible ${\mathrm{g}}_2\ast \mathrm{d}(\mathrm{y}(-2))$

${\mathrm{sca}}_3$

$\mathrm{d}(\mathrm{y})={\mathrm{h}}_0+{\mathrm{h}}_1\ast \mathrm{y}(-3)+{\mathrm{h}}_2\ast {\mathrm{t}}^{-1}$

${\mathrm{sca}}_4$, ${\mathrm{sra}}_7$

$\mathrm{d}(\mathrm{y})={\mathrm{i}}_0+{\mathrm{i}}_1\mathrm{y}(-2)+{\mathrm{i}}_2\ast \mathrm{d}(\mathrm{y},2)+{\mathrm{i}}_3\ast \mathrm{t}/(\mathrm{t}+1)$ or ${\mathrm{i}}_3\ast {\mathrm{t}}^{-1}$