Species orthogonalization.

We discuss the general formation of complementary behaviors, functions and forms in biological species competing for resources. We call orthogonalization the related processes on macro and micro-level of a self-organized formation of correlations in the species properties. Orthogonalization processes could be, for example, easily observed in sympatric speciation, as we show in numerical studies carried out with a new population equation. As a practical result, we find that the number of species is proportional to the effective richness of resources and depends on their history.