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Results of experiments

Simulation has been performed within a theoretical context during 100 iterations. To do this, first the global quantity of each activity is established at each iteration. Then, the model calculates the spatial distribution. In this experiment, the parameters $m_{q,r,d}$ are based on those established by White, et al.(1997); they are shown in figure 1. The maximum number of floors is 10. Parameters $C_k$ and $F_{k,q}$ as shown in table 1.


Table: Values assigned to the building cost $C_k$ and to the cost $F_{k,q}$ related to the performing of the activity $q$ on floor $k$.
$k$ $C_k$ $F_{k,1}$ $F_{k,2}$ $F_{k,3}$
1 10 0 0 0
2 9 2 10 5
3 8 2 10 5
4 10 2 10 5
5 14 2 10 5
6 19 2 10 5
7 26 2 10 5
8 35 2 10 5
9 45 2 10 5
10 60 2 10 5

Figure: Variation of weights $m_{q,r,d}$. Graph A: X axis, distance ($d$), Y axis, weight of cell in state $r$ (states are listed in the legend) in connection with commercial activity ($q=1$). Graph B: Y axis, weight of cell in state $r$ in connection with industrial activity ($q=2$). Graph C: Y axis, weight of cell in state $r$ in connection with residential activity ($q=3$).
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Results at steps 50 and 100 are shown in figures (figure 2 and 3). Color legend of areas: ground (green), roads (black), railways (orange), and river (magenta). Commercial buildings (red), industrial (yellow), and housing (blue). Activities located in a set of cells that are defined by the constant $i$ e $j$ may vary with $k$. In order to show this aspect, while the right side of the building remains white, the left side reflects the color which is appropriate to the activity carried out in the floor. The roof color is related to the most frequent activity in the building block.

Figure: Axonometric view of the cluster after 50 iterations.
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Figure: Axonometric view of the cluster after 100 iterations.
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\par\resizebox {10cm}{!}{\includegraphics*{disli_10.eps}}\end{center}\begin{footnotesize}
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next up previous contents
Next: Differences between 2 and Up: The dynamic of an Previous: AC dynamic in a   Contents
ferdinando semboloni
2000-11-06