Alternative Least Cost Paths

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I'm working on site accessibility. Having various locations, I can identify the LCP going from one to any other. So, by default, LCP calculation is giving me the first most least-cost path only. I can use various programs to get a few different options, but they generally point to the same general direction.

I wonder if anyone knows a way to get other paths which, despite being more costly, could be used as an alternative. As I see it, it could imply using a simple XY chart (X being each alternative and Y the cost) and splitting it in natural breaks or quartile, or whatever method. I suppose it would need to calculate a lot more.

Maybe it already exists in some road GPS applications (for an example, pointing out various roads to avoid jams or something) ? If so, how could it be used with elevation rasters?



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