  Motivated by the idea of developing a ``hydrodynamic'' description of
spatiotemporal chaos, we have investigated the defect--defect correlation
functions in the defect turbulence regime of the two--dimensional, anisotropic
complex Ginzburg--Landau equation. We compare our results with the predictions
of generic scale invariance. Using the topological nature of the defects, we
prove that defect--defect correlations cannot decay as slowly as predicted by
generic scale invariance. We also present results on the fluctuations of the
amplitude field $A$.
