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Table 1 Notations and explanations

From: The role of higher education in spatial mobility

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 \(HEI_m\).