Before revision:  This mathematical property of our model was subsequently confirmed in real-life prokaryotic genomes. To further support the assumptions of our model we present an empirical evidence of correlations between functional repertoires of prokaryotic genomes. The overall pattern of these correlations remains mostly unchanged when large and small genomes are analyzed separately. This hints at universality of biological mechanisms shaping up prokaryotic genomes irrespective of their size .
After revision:  It predicts that functional categories that grow faster-than-linearly with genome size to be characterized by flatter-than-average family size distributions. This exponent relation is subsequently confirmed by our bioinformatics analysis of prokaryotic genomes .