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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 \(HEI_m\).