How to Introduce Connectance in the Frame of an Expression for Diversity

Systems made of parts that are totally connected do not work, neither ecosystems nor artifacts. Relative connectance is inversely related to diversity, and both magnitudes can find a common frame of expression, in which some constant expressing the constraints of any organization might be embodied. If S is Simpson's index, the expression (1 - S)/S as a measure of diversity offers some advantages or, at least, helps further reasoning. Such expression is the ratio between total interspecific possible interactions and possible intraspecific interactions.