  The energy spectra and anisotropies are very important probes of the origin
of cosmic rays. Recent measurements show that complicated but very interesting
structures exist, at similar energies, in both the spectra and energy-dependent
anisotropies, indicating a common origin of these structures. Particularly
interesting phenomenon is that there is a reversal of the phase of the dipole
anisotropies, which challenges a theoretical modeling. In this work, for the
first time, we identify that there might be an additional phase reversal at
$\sim 100$ GeV energies of the dipole anisotropies as indicated by a few
underground muon detectors and the first direct measurement by the Fermi
satellite, coincident with the hundreds of GV hardenings of the spectra. We
propose that these two phase reversals, together with the energy-evolution of
the amplitudes and spectra, can be naturally explained with a nearby source
overlapping onto the diffuse background. As a consequence, the spectra and
anisotropies can be understood as the scalar and vector components of this
model, and the two reversals of the phases characterize just the competition of
the cosmic ray streamings between the nearby source and the background. The
alignment of the cosmic ray streamings along the local large-scale magnetic
field may play an important but sub-dominant role in regulating the cosmic ray
propagation. More precise measurements of the anisotropy evolution at both low
energies by space detectors and high energies by air shower experiments for
individual species will be essential to further test this scenario.
