  We propose an approach to position measurements based on the hypothesis that
the action of a position detector on a quantum system can be effectively
described by a dissipative disordered potential. We show that such kind of
potential is able, via the dissipation-induced Anderson localization, to
contemporary localize the wavefunction of the system and to dissipate
information to modes bounded to the detector. By imposing a diabaticity
condition we demonstrate that the dissipative dynamics between the modes of the
system leads to a localized energy exchange between the detector and the rest
of the environment -the "click" of the detector- thus providing a complete
deterministic description of a position measurement. We finally numerically
demonstrate that our approach is consistent with the Born probability rule.
