DIVERSITY IS UNEVENLY DISTRIBUTED WITHIN SPECIES
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We can compare this prediction with genetic data from field populations. This is part of the genealogical tree of a population of Pseudomonas soil bacteria (data from Cho & Tiedje):

Since the Pseudomonas tree is only a sample, we need to account for the effect of sampling on the distribution. To do this, we simply simulate the ancestry of the samples. We directly simulated the ancestral tree of the samples as a random walk, initializing the simulation by representing organisms at the specific geographical locations where the Pseudomonas samples were obtained:

The circles represent the number of samples with a uniqueness of u, for the sampled Pseudomonas population. The dashed line is an average over 1,000 spatial simulations:

The data show the long tail predicted by the theory.
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