  In this paper, we study the fine structure of entanglement in holographic
two-dimensional boundary conformal field theories (BCFT) in terms of the
spatially resolved quasilocal extension of entanglement entropy - entanglement
contour. We find that the boundary induces discontinuities in the contour
revealing hidden localization-delocalization patterns of entanglement degrees
of freedom. Moreover, we observe the formation of ``islands'' where the
entanglement contour vanishes identically implying that these regions do not
contribute to the entanglement at all. We argue that these phenomena are the
manifestation of entanglement islands discussed recently in the literature. We
apply the entanglement contour proposal to the recently proposed BCFT black
hole models reproducing the Page curve - moving mirror model and the pair of
BCFT in the thermofield double state. From the viewpoint of entanglement
contour, the Page curve also carries the imprint of strong delocalization
caused by dynamical entanglement islands.
