  A purely combinatorial compactification of the configuration space of n (>4)
distinct points with equal weights in the real projective line was introduced
by M. Yoshida. We geometrize it so that it will be a real hyperbolic
cone-manifold of finite volume with dimension n-3. Then, we vary weights for
points. The geometrization still makes sense and yields a deformation. The
effectivity of deformations arisen in this manner will be locally described in
the existing deformation theory of hyperbolic structures when n-3 = 2, 3.
