# Table 1 Notations and explanations

Notation Explanation
$$L_j$$ Location (subregion at the NUTS level 4) $$L_j$$ indexed by j
$$C(L_j)$$ County of location $$L_j$$.
$$O_k$$ Occupation $$O_k$$ (coded by ISCO) indexed by k.
$$Y_{i,j}$$ Number of movements from location $$L_i$$ to location $$L_j$$.
$$Y_{i,j}|_{k}$$ Number of movements from location $$L_i$$ to location $$L_j$$, restricted only to the occupation $$O_k$$.
$$HEI_m$$ Higher education institution (HEI) m, indexed by m.
$$HEI(L_j)$$ 1, if there is an HEI at location $$L_j$$. 0, otherwise.
$$HEI_j|_k$$ 1, if there is an HEI that has a program for the expectation of occupation $$O_k$$.
$$L_{m}$$ Location (subregion at the NUTS level 4) of $$HEI_m$$
$$RANK_{m,t}$$ Faculty excellence rank of $$HEI_m$$ in year t (based on Eduline domestic HEI rank).
$$A_{i,j,t}$$ Number of applications from location $$L_i$$ to $$HEI_j$$ in year t
$$A_{m,m',t}$$ The number applications where $$HEI_m$$ is ahead of $$HEI_m'$$ on the preference list in year t
$$I_j=GDI/cap(L_j)$$ Per-capita gross domestic income of location $$L_j$$, and $$I_m$$ will be used for GDI/cap at the location of $$HEI_m$$.
$$UR_j=UR(L_j)$$ Unemployment rate of location $$L_j$$.
$$E_n$$ Employee $$E_n$$, indexed by n
$$S^g_{k,j,m}(n)$$ Starting salary of a graduated employee $$E_n$$ working in occupation $$O_k$$ at location $$L_j$$ and graduated in $$HEI_m$$.
$${\overline{S}}^n_k$$ Mean (starting) salary of undergraduate or not graduated employees in occupation $$O_k$$.
$${\overline{S}}^g_k$$ Mean (starting) salary of graduated employees in occupation $$O_k$$.
$${\overline{S}}^g_{k,j}$$ Mean (starting) salary of graduated employees in occupation $$O_k$$ at location $$L_j$$
$${\overline{S}}^g_{k,j,m}$$ Mean (starting) salary of graduated employees in occupation $$O_k$$ at location $$L_j$$, graduated from $$HEI_m$$.