  We show that the standard class of optimal control models in OCMat can be
used to analyze 1D spatial distributed systems. This approach is an
intermediate step on the way to the FEM discretization approach presented in
Grass and Uecker (2015). Therefore, the spatial distributed model is
transformed into a standard model by a finite difference discretization. This
(high dimensional) standard model is then analyzed using OCMAT. As an example
we apply this method to the spatial distributed shallow lake model formulated
in Brock and Xepapadeas (2008). The results are then compared with those of the
FEM discretization in GRass and Uecker (2015)
