I would not expect to find this relationship between local and regional diversity in nature. I do not think this is possible to observe in nature because the local species richness is higher than the regional species richness at all points on the line. The axes are set equal to each other and the slope of the line is higher than 1, making local richness higher than regional richness. This is not possible because the number of species found in the local area would have to factor into the number of species in the regional area, constantly making the regional area higher in richness.
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