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Distance for logistic models

Dear all:

I am preparing a study using Non-Metric Multidimensional Scaling with some acoustic parameters. The final fitting indicate a R2 of 0,99 using canberra distance. However, the tendency of fitting between ordination distances and observed dissimilarities show a logistic form. I had tested 12 mathematical distances-simmilarity-disimilarity analysis but probably additional distances not include in dist or ecodist libraries can be used. Any suggestion?

Regards