We investigate the independent quasiparticle (QP) picture for superdeformed
nuclei of the mass-190 region, which is expected to lead to additivity in
certain physical quantities. Obvious deviations from additivity are found f
rom both projected shell model calculations and experimental data. The caus
e of the deviation can be decomposed and identified through this model. Our
study suggests that the independent QP picture may not be fully appropriat
e for this mass region.