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28<br />

Compartmentalised track networks<br />

Figure 2.7 illustrates the most comprehensive compartmentalised model track network possible,<br />

<strong>in</strong> which all po<strong>in</strong>ts are visited to satisfy access requirements. The relative danger to hypothetical<br />

<strong>fire</strong>fighters is set to nil as there are alternate routes away from every po<strong>in</strong>t (<strong>in</strong>tersections <strong>of</strong> two or<br />

more l<strong>in</strong>es on the grid). Compartmentalisation is complete. However, the relative cost as <strong>in</strong>dicated<br />

from edge-length alone is at a maximum – 40L – almost double the m<strong>in</strong>imum <strong>of</strong> about 21L <strong>of</strong> Figure<br />

2.6; thus all other networks have a cost between these two values.<br />

Figure 2.7 The grid <strong>of</strong> 16 square cells with the number <strong>of</strong> tracks (solid l<strong>in</strong>es) needed to def<strong>in</strong>e every cell. In this case there are<br />

40 sides to the cells (some shared), so the total length is 40L. The number <strong>of</strong> dead ends to tracks among the total <strong>of</strong> 25 corners<br />

and <strong>in</strong>tersections is nil. There are numerous <strong>in</strong>tersections.<br />

Can we reduce the track length and reta<strong>in</strong> or improve safety, while reta<strong>in</strong><strong>in</strong>g groups <strong>of</strong> cells (cell<br />

clusters), all with perimeter tracks? It can be declared that reach<strong>in</strong>g the perimeter track implies safety<br />

<strong>in</strong> this model system. If this were to be more realistic, the model system would have to expand well<br />

beyond the area <strong>of</strong> jurisdiction and consider the tracks and roads surround<strong>in</strong>g the study area. There<br />

are numerous alternative track designs <strong>for</strong> grids with a perimeter track but only two more follow.<br />

In Figure 2.8a, all the tracks lead directly to the perimeter edge. The whole network is<br />

compartmentalised, there is no dead end and the track length is 28L – <strong>in</strong>stead <strong>of</strong> 21L <strong>in</strong> Figure 2.6,<br />

or 40 <strong>in</strong> Figure 2.7. There are six exits to the perimeter. In Figure 2.8b, track length has <strong>in</strong>creased by<br />

4L, but there are more exits to the perimeter. There are also eight cell clusters rather than 4. This may<br />

be regarded as safer <strong>for</strong> <strong>fire</strong>fighters than Figure 4a as there are options <strong>for</strong> travell<strong>in</strong>g <strong>in</strong> contrast<strong>in</strong>g<br />

directions from the <strong>in</strong>terior to the perimeter, accord<strong>in</strong>g to the direction from which the <strong>fire</strong> is<br />

approach<strong>in</strong>g. The second diagram implies that <strong>fire</strong>s could be conf<strong>in</strong>ed to cell clusters, and because<br />

there are more <strong>of</strong> these clusters kept smaller on average. Thus these simple models suggest that<br />

there are cost implications with length <strong>of</strong> track, and trade-<strong>of</strong>fs between access, <strong>fire</strong>fighter safety and<br />

potential <strong>for</strong> conf<strong>in</strong><strong>in</strong>g <strong>fire</strong>s to a group <strong>of</strong> cells.<br />

Fire and adaptive <strong>management</strong> <strong>Underp<strong>in</strong>n<strong>in</strong>gs</strong> <strong>of</strong> <strong>fire</strong> <strong>management</strong> <strong>for</strong> <strong>biodiversity</strong> <strong>conservation</strong> <strong>in</strong> reserves

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