Before revision:  In this paper the average dynamics  is introduced as an heuristic tool to construct models of reaction networks with their qualitative properties explored in terms of connectivity properties of the Interaction Graphs for the ODEs, the Markov chain and the resulting average dynamics. In a second paper the question of stability, robustness and a possible modular structure of the complex system defined by the average dynamics is addressed .
After revision:  In this paper the average dynamics is introduced as an heuristic tool to construct models of reaction networks with their qualitative properties explored in terms of connectivity and (feedback) loop formation .