  We investigate whether or nor it is possible to find a scalar field model or
models that are capable of explaining simultaneously the observed $N$-$z$
relation given by the 2dF Galaxy Redshift Survey, which still seems to exhibit
a spatial periodicity of the galaxy distribution(the 'picket-fence structure'),
and the CMB spectrum obtained by the WMAP experiments. It is found that both
the observed size of the spatial periodicity and the amplitude of the 2dF
$N$-$z$ relation can be fairly well fitted by the theoretical computations
based on the scalar field models with $-20\le \xi\le -10$, and $140\le m_{\rm
s} \le 160$, where $\xi$ is the gravitational coupling parameter, and $m_{\rm
s}$ the normalized mass of the scalar field, respectively. To reproduce the CMB
spectrum of the WMAP, we find that it is very crucial to have a null state of
the scalar field in the early epochs of evolution of the universe.
