  We investigate the relation between the amount of entanglement localized on a
chosen subsystem of a multi-qubit system via local measurements on the rest of
the system, and the bipartite entanglement that is lost during this measurement
process. We study a number of paradigmatic pure states, including the
generalized GHZ, the generalized W, Dicke, and the generalized Dicke states.
For the generalized GHZ and W states, we analytically derive bounds on
localizable entanglement in terms of the entanglement present in the system
prior to the measurement. Also, for the Dicke and the generalized Dicke states,
we demonstrate that with increasing system size, localizable entanglement tends
to be equal to the bipartite entanglement present in the system over a specific
partition before measurement. We extend the investigation numerically in the
case of arbitrary multi-qubit pure states. We also analytically determine the
modification of these results, including the proposed bounds, in situations
where these pure states are subjected to single-qubit phase-flip noise on all
qubits. Additionally, we study one-dimensional paradigmatic quantum spin
models, namely the transverse-field XY model and the XXZ model in an external
field, and numerically demonstrate a quadratic dependence of the localized
entanglement on the lost entanglement. We show that this relation is robust
even in the presence of disorder in the strength of the external field.
