# Multiagency Modeling of Transformation Strategies Towards Sustainable Smart Cities
## 3 The Multiagency Sustainable Smart City Model and Transformation Strategies
### Model Valuation and Transformation Strategies  
The model presented above assumes \(r\) dimensions. Figures 1 and 2 show two-dimensional models. They can be generalized to higher dimensions, for instance three dimensions or even further. While working on the study of Warsaw as a smart city [4], it turned out that a three-dimensional model could pretty well draft its transformation towards a smart city. Figure 2: Two-dimensional model with a sustainability corridor. Decisions on the part of municipal authorities have to be taken in order to make use of the above model, which means model parameters have to be valued. The process of model valuation (substantiation of the model with actual data) may go as follows:  
* Decide which and how many agencies (dimensions) are to be taken into account; in other words, the set \(D=\{D_{1},\,D_{2},\,\ldots,\,D_{\rm r}\}\) and the value of \(r\) have to be given,
* The features of each agency, \(D_{\rm i}=\left(\Gamma_{D^{\rm i}}^{1},\Gamma_{D^{\rm i}}^{2},\ldots,\Gamma_{D \rm i}^{n}\right),\mbox{for}i=1,2,\ldots,r;{\rm j}=1,2,\ldots,n\), along with the weights, \(w_{D{\rm i}}^{j}\), have to be identified. This action determines the depth of the model and will influence the amount of effort and costs that will be necessary to collect specific data on each feature, \(\Gamma_{D{\rm i}}^{j}\), in order to calculate the values of \(\alpha_{D{\rm i}}^{j}\) (update of these values will have to be done periodically while monitoring the standing of the city, and also during the transformation process towards the zone of smartness). The result are the values \(D_{\rm i}\), \(\mbox{for}i=1,2,\ldots,r\) (see Formula 1),
* Assign weights, \(g_{i}\), to each \(D_{i}\),
* Calculate the synthetic indicator, \(I\) (Formula 2),
* Assign the smartness threshold, \({\rm S}_{i}\) (\({\rm i}=1,2,\ldots,{\rm r}\)) to each dimension \(D_{i}\). In fact, this is the moment when the meaning of the smart city in the context of the city in question is defined. Such decisions can be prepared by comparing the \(D_{\rm i}\) values with their counterparts for other cities. The final decision will have to be approved by the city authorities. Of course, the other indices defined above should be calculated in order to have a complete picture of the city's standing and, therefore, the possibility of comparing it with other towns. The last task of the analytical team for setting up the model is to determine the sustainability line and sustainability corridor; this can be done in a similar way to the procedure for defining the zone of smartness. Let us emphasize that the value of the model lies not only in its qualitative features but also in the way it is substantiated with the data. This data comes on the one hand from the research and indigenous databases of the model users (city authorities and their agendas), and on the other hand are the result of cities' development policies, priorities, and strategic decisions on the part of the authorities. Once the model has been established one can devise a city transformation strategy towards the smartness zone. To this end the following cases can occur:  
* The city is outside the sustainability corridor and none of the agencies' values exceed their corresponding smartness threshold. In such cases the city has three options:
* Head for the sustainability corridor along the shortest possible route, and after having reached the corridor, follow the path set out by the corridor towards the smartness zone;
* Head for the sustainability corridor (not yet lying within the smartness zone) to the point indicated by the analytical team and/or city authorities, and then follow the path set out by the corridor towards the smartness zone;
* Head directly towards the smartness zone. * The city is outside the sustainability corridor but at least one, but yet not all the values, of its agencies exceed their corresponding smartness thresholds. Basically, the city can follow one of the three aforementioned options in point (a).