Biology is the scientific study of life. The suffix -ome is used to denote the object of a biological field of study (eg, genome, interactome, connectome, biome), and so internetome is a neologism presenting the digital networking, mediation and augmentation of ourselves and our world as a biological field of study.
Ecology is a branch of biology dedicated to the study of the relationships between living organisms, including humans, and their physical environment. Ecology considers organisms at the individual, population, community, ecosystems, and biosphere level.
The short descriptions below emphasise where we're going over where we've been. You won't see "information flows", or a particular variety of information flow you might call "value flows", because these are universal to ecologies. Nothing can constitute an ecology without them.