Before revision:  Large scale variations of patterns are well captured by a Ginzburg-Landau equation , whose form does not depend on the details of the underlying models. The mathematical framework we have introduced has much larger applicability than the one considered here, possibly including pattern formation in models with very different physical features .
After revision:  Large scale variations of patterns are well captured by a Ginzburg-Landau equation as functions of the model parameters. Such framework can include higher order nonlocal interactions and has much larger applicability than the one considered here, possibly including pattern formation in models with very different physical features .