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Weighted (Perlin?) Noise generation

Is there a way I can "Weight" a noise generation algorithm to a specific point i.e the center of the generated "image" or one of its corners, assuming the generated "image" is square? I have been ...
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modelling an ecosystem evolving on a landscape

I would like to understand a bit more the theory and the approaches available in modelling a population roaming across a landscape. Assume discrete time and space as simple as a discrete grid and a ...