## Stock and Flow Structure of Innovation and Value Creation  
The _InnovValueCreation_ (innovation and value creation) stock is fed by the _CreationRate_ inflow and is deflated by the _CreationDropRate_ outflow, as illustrated in Figure 9.  
Figure 8: ANEA stocks and flows diagram. Figure 9: Stock and flow structure of innovation and value creation. The _InnovValueCreation_ stock variable is then the integral of the difference of _CreationRate_ and _CreationDropRate_ added to the initial value of the stock, represented below in Equation (5). \[ \begin{array}{ll}\mathit{MembSatisf}(t)&=\mathit{MembSatisf}(0)\\ &+\ \int[\mathit{SatisfRate}(t)-\mathit{Dissatisf}(t)]dt\\ \mathrm{where},&\mathit{MembSatisf}\in\Re&\wedge\ [0\leq\mathit{MembSatisf}\leq 1]\end{array}  \tag{5}\]  
The _CreationRate_ inflow is governed by the contributing factors of innovation and value creation. The main contributing factors for innovation pass by, forming solid teams of organizations capable of bringing more diverse knowledge and experience, and also of breaking down knowledge silos. As a consequence, fresh new ideas arise that need to be put forward in order to create value for both the members of the CN and the customers. Therefore, the creation of value is given by the sum of the value added from existing products or services and the creation of new ones. Having this in the background, the _CreationRate_ inflow is divided into two main perspectives: (_i_) the generation and implementation of new ideas collaboratively and, (_ii_) the creation of value. Equation (6) formalizes the _CreationRate_ inflow. \[ \begin{array}{ll}\mathit{CreationRate}(t)&\\ &=(\mathit{IdeaGenerator}(t)+\mathit{ValueCreat}(t))/2\\ &-\mathit{InnovValueCreat}(t)\\ \mathrm{where},&\mathit{CreationRate}\in\Re\end{array}  \tag{6}\]  
The _IdeaGenerator_ term captures the collaborative generation and implementation of new ideas. It is determined by the weighted average of the potential of knowledge creation (_KnowCreatPoten_) value, of the ratio of VOs under operation (_VOSOpRatio_) and of the level of the aggregated pleasure of the CN (_Valence_), adjusted to fit within the order of magnitude of the other variables. Furthermore, for this model it is considered that the weights of the _KnowCreatPoten_ and the _VOSOpRatio_ are superior to the _ValenceAdj_, as described in Equation (7). \[ \begin{array}{ll}\mathit{IdeaGenerator}(t)&\\ &=\frac{\left(n\times\mathit{KnowCreatPoten}+w_{i}\times\mathit{VOSOpRatio}+w _{i}\times\mathit{ValenceAdj}\ (t)\right)}{w_{i}+w_{i}+w_{i}}\\ \mathrm{where},&\mathit{IdeaGenerator}w_{i},w_{j},w_{k}\\ &\in\Re\ \wedge\ [0\leq\mathit{IdaGenerator}\leq 1]\\ &\wedge\left[w_{i},w_{j}>w_{k}\right]\end{array}  \tag{7}\]  
The _ValueCreat_ term captures the value created inside the CN. It is determined by the weighted arithmetic mean of the existing products and services, represented by the rate of VOs that have already terminated (_VOSFinishRatio_), the ongoing creation of new products and services, represented by the VOs under operation (_VOSOpRatio_), the overall performance evaluation of the CN (_CNPFEval_) and of the level of aggregated pleasure of the adjusted CN (_ValenceAdj_). Furthermore, for this model it is considered that the weights of the _VOSFinishRatio_ and the _VOSOpRatio_ are superior to the others, as described in Equation (8). \[ \begin{array}{ll}\mathit{ValueCreat}(t)=\left(w_{i}\times\mathit{VOS FinishRatio}+w_{j}\times\mathit{VOSOpRatio}\right.\\ &+w_{k}\times\mathit{CNPerEval}+w_{y}\times\mathit{ValenceAdj}\ (t)\right)/w_{i}\\ \mathrm{where},&\mathit{ValueCreat},w_{i}w_{j},w_{k},w_{y}\\ &\in\Re\ \wedge\ [0\leq\mathit{ValueCreat}\leq 1]\\ &\wedge\left[w_{i},w_{j}>w_{k},w_{y}\right]\end{array}  \tag{8}\]  
The _CreationDropRate_ outflow is driven by the costs of VOs failing (_VOSFailRatio_) and by the conflict risks (_ConfRisks_) negatively influencing the creation of value and innovation. The higher (lower) the _ConfRisks_ and the _VOSFailRatio_ are, the more (less) the _InnovValueCreation_ diminishes.