  A semi-phenomenological theory of variable-range hopping (VRH) is developed
for two-dimensional (2D) quasi-one-dimensional (quasi-1D) systems such as
arrays of quantum wires in the Wigner crystal regime. The theory follows the
phenomenology of Efros, Mott and Shklovskii allied with microscopic arguments.
We first derive the Coulomb gap in the single-particle density of states,
$g(\epsilon)$, where $\epsilon$ is the energy of the charge excitation. We then
derive the main exponential dependence of the electron conductivity in the
linear (L), {\it i.e.} $\sigma(T) \sim \exp[-(T_L/T)^{\gamma_L}]$, and current
in the non-linear (NL), {\it i.e.} $j({\mathcal E}) \sim \exp[-({\mathcal
E}_{NL} / \mathcal{E})^{\gamma_{NL}}]$, response regimes (${\mathcal E}$ is the
applied electric field). Due to the strong anisotropy of the system and its
peculiar dielectric properties we show that unusual, with respect to known
results, Coulomb gaps open followed by unusual VRH laws, {\it i.e.} with
respect to the disorder-dependence of $T_L$ and ${\mathcal E}_{NL}$ and the
values of $\gamma_L$ and $\gamma_{NL}$.
