  We study a property of cycle spaces in connection with degenerating Hodge
structures of odd-weight, and construct maps from some partial
compactifications of period domains to the Satake compatifications of Siegel
spaces. These maps are a generalization of the maps from the toroidal
compactifications of Siegel spaces to the Satake compactifications. We also
show the continuity of these maps for the case of Calabi-Yau threefolds with
h^{2,1}=1.
