  The Critical Path Approximation ("CPA") is integrated with a lattice-based
approach to percolation to provide a model for conductivity in nanofibre-based
composites. Our treatment incorporates a recent estimate for the anisotropy in
tunnelingbased conductance as a function of the relative angle between the axes
of elongated nanoparticles. The conductivity is examined as a function of the
volume fraction, degree of clustering, and of the mean value and standard
deviation of the orientational order parameter. Results from our calculations
suggest that the conductivity can depend strongly upon the standard deviation
in the orientational order parameter even when all the other variables
(including the mean value of the order parameter <S>) are held invariant.
