  The origin of self-organized criticality in a model without conservation law
(Olami, Feder, and Christensen, Phys. Rev. Lett. {\bf 68}, 1244 (1992)) is
studied. The homogeneous system with periodic boundary condition is found to be
periodic and neutrally stable. A change to open boundaries results in the
invasion of the interior by a ``self-organized'' region. The mechanism for the
self-organization is closely related to the synchronization or phase-locking of
the individual elements with each other. A simplified model of marginal
oscillator locking on a directed lattice is used to explain many of the
features in the non-conserved model: in particular, the dependence of the
avalanche-distribution exponent on the conservation parameter $\alpha$ is
examined.
