  In the statistical framework of model-independent Gaussian processes (GP), we
search for the evidence of dynamical dark energy (DDE) using the "Joint
Light-curve Analysis" (JLA) Type Ia supernovae (SNe Ia) sample, the 30 latest
cosmic chronometer data points (H(z)), Planck's shift parameter from cosmic
microwave background (CMB) anisotropies, the 156 latest HII galaxy measurements
and 79 calibrated gamma-ray bursts (GRBs). We find that the joint constraint
from JLA + H(z) + CMB + HII + GRB supports the global measurement of $H_0$ by
Planck collaboration very much in the low redshift range $z\in[0, 0.76]$ at the
$2\sigma$ confidence level (C.L.), gives a cosmological constant crossing
(quintom-like) equation of state (EoS) of DE at the $2\sigma$ C.L. and implies
that the evolution of the late-time Universe may be actually dominated by the
DDE.
