DLA model parameter space

Here is an image showing how DLA-based fractal model changes when couple of density parameters are slightly tilted. The whole thing is here to generate a fractal probability distribution for geographical Yook/Jeong/Barabasi network model.
Maybe IFS-based fractal would be better here - as it might allow for more control of fractal dimension than DLA does. But then I would not get an obvious way to control exponential density fall-off, and IFS seems to be less natural than this DLA.
Also, here're some resources on fractal generation I'd stumbled upon recently:

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