Abstract   Possibilities  to use biogeochemical principles of  V.I. Vernadsky for quantitative description of life development were discussed in the paper. Two examples were taken into consideration. First example was given to discuss, so-cold, Darwin – Vernadsky   paradox which  was connected with complicated  hierarchical structure of ecosystems and biosphere. Second example was connected  with  more qualitative than quantitative character of  Vernadsky’ biogeochemical principles of biosphere and ecosystems development. Quantitative criteria to evaluate the development  of multi-organisms systems were to take into account:  energy fluxes and their use in biosystems of different hierarchical levels. Some of energy criteria (principles) were presented and analyzed.   Main characteristics of  Biospherics as a  new field of natural science were presented and discussed.