  In this paper we investigate the sensitivity of the LWR model on network to
its parameters and to the network itself. The quantification of sensitivity is
obtained by measuring the Wasserstein distance between two LWR solutions
corresponding to different inputs. To this end, we propose a numerical method
to approximate the Wasserstein distance between two density distributions
defined on a network. We found a large sensitivity to the traffic distribution
at junctions, the network size, and the network topology.
