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Underpinnings of fire management for biodiversity conservation in ...

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The critical time, or time to reach the threshold, tsf c , is:<br />

tsf c = -1/k[log e (1 – W c /W max )] Equation 3.4<br />

<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<br />

Thus if, as <strong>in</strong> Figure 3.1, k = 0.2 and W = 18, and if the critical fuel load, W , equals 8, then<br />

max c<br />

tsf = 3 years. If burnt at this time, the <strong>in</strong>terval between <strong>fire</strong>s is 3 years. If W >W then tsf become<br />

c c max c<br />

<strong>in</strong>f<strong>in</strong>ite, then no burn<strong>in</strong>g will be recommended based on this evidence (but may be on<br />

other evidence).<br />

The time above the threshold fuel level, tsf , as a proportion <strong>of</strong> the between-<strong>fire</strong> <strong>in</strong>terval, tsf , is<br />

c b<br />

given by [(tsf tsf )/tsf ]. Consider a grassland <strong>in</strong> which the fuel load reaches much the same, but<br />

b – c b<br />

undesirable, level with<strong>in</strong> a year and stays there <strong>in</strong> successive years. Pre-emptively burn<strong>in</strong>g every year<br />

precludes any time above the threshold level – the ultimate <strong>for</strong> ‘protection’. Burn<strong>in</strong>g every second<br />

year means that fuels are above (and below) what the manager may desire <strong>for</strong> protection objectives<br />

half the time.<br />

In a <strong>for</strong>est, the fuel loads (or scores) may be as <strong>in</strong> Figure 3.1, with zero fuel left after <strong>fire</strong>; fuel is able<br />

to <strong>in</strong>crease above a certa<strong>in</strong> critical level <strong>for</strong> years. Perhaps the load and time above the threshold<br />

is a useful concept. This is given <strong>in</strong> part by the follow<strong>in</strong>g equation <strong>in</strong> which only positive values are<br />

considered:<br />

(W tsf – W c ) = W max (1 – e -k.tsf ) – W c Equation 3.5<br />

This is equivalent to draw<strong>in</strong>g a horizontal l<strong>in</strong>e through W on graphs such as Figure 3.1, and look<strong>in</strong>g<br />

c<br />

at values above the l<strong>in</strong>e each year to give the sum <strong>of</strong> these levels <strong>in</strong> the <strong>in</strong>terval between the threshold<br />

year and the year that burn<strong>in</strong>g takes place. For example, say the critical fuel load is 8 t ha-1 and this<br />

is reached <strong>in</strong> three years, as <strong>in</strong> Figure 3.1. Then the sum <strong>of</strong> fuel loads above the threshold value <strong>for</strong><br />

a six-year <strong>in</strong>terval between <strong>fire</strong>s is approximately 11 tonne-years, while that <strong>for</strong> a 10-year <strong>in</strong>terval is<br />

approximately 38 tonne-years.<br />

The f<strong>in</strong>e-fuel load is just one <strong>of</strong> the fuel variables that may be <strong>of</strong> <strong>in</strong>terest from a <strong>fire</strong> or environmental<br />

po<strong>in</strong>t <strong>of</strong> view. Curves, such as those <strong>in</strong> Figure 3.1, may be drawn <strong>for</strong> shrubs and bark on trees, logs<br />

on the ground, dead material <strong>in</strong> shrub canopies and crowns <strong>of</strong> trees and shrubs (see Gould et al.<br />

2007 Appendix 2, <strong>for</strong> example). The value <strong>of</strong> the decomposition constant, k, is likely to vary <strong>for</strong> each<br />

component, as are the quasi-equilibrium loads (or scores). The remnant fuel loads (or scores) will vary<br />

accord<strong>in</strong>g to component and to the properties <strong>of</strong> the last <strong>fire</strong> (e.g. <strong>in</strong> the absence <strong>of</strong> crown scorch all<br />

the canopy is remnant).<br />

As illustrated <strong>in</strong> Figure 3.1, there can be fuel left after a prescribed <strong>fire</strong> or an unplanned <strong>fire</strong>. After<br />

a prescribed <strong>fire</strong>, a certa<strong>in</strong> amount left cover<strong>in</strong>g the soil may be seen as be<strong>in</strong>g <strong>in</strong> l<strong>in</strong>e with land<strong>management</strong><br />

objectives. Tolhurst et al. (1992a) reported that 40% was <strong>of</strong>ten left unburnt <strong>in</strong> their<br />

prescribed burn<strong>in</strong>g experiments. They found that the percentage <strong>of</strong> f<strong>in</strong>e fuel actually burnt <strong>in</strong> areas<br />

where the <strong>fire</strong> passed over was a l<strong>in</strong>ear function <strong>of</strong> the Keetch-Byram drought <strong>in</strong>dex (Keetch and<br />

Byram 1968). However, this relationship varied widely from autumn to spr<strong>in</strong>g; a much higher drought<br />

<strong>in</strong>dex be<strong>in</strong>g necessary <strong>in</strong> spr<strong>in</strong>g to burn the same percentage <strong>of</strong> the fuel.<br />

The <strong>in</strong>dices, above, have been considered <strong>in</strong> relation to a particular po<strong>in</strong>t on the ground rather than<br />

to an area. For a burn<strong>in</strong>g block, landscape or region, four related <strong>in</strong>dices <strong>of</strong> effectiveness, or lack <strong>of</strong> it,<br />

are:<br />

1. The total amount <strong>of</strong> fuel on a unit landscape at any one time, a comb<strong>in</strong>ation <strong>of</strong> the amount <strong>of</strong> fuel<br />

accumulation with time s<strong>in</strong>ce <strong>fire</strong> and the proportions <strong>of</strong> landscape with different fuel ages; an<br />

average fuel load (or score) may be obta<strong>in</strong>ed by assum<strong>in</strong>g equal proportions <strong>of</strong> land affected and<br />

the use <strong>of</strong> Equation 3.1 <strong>for</strong> total removal each time<br />

2. The geographical spread <strong>of</strong> certa<strong>in</strong> fuel quantities <strong>in</strong> the landscape, or fuel quantities graphed by<br />

the area they occupy<br />

3. Proportional area with fuel loads below, or above, the threshold amount<br />

4. Patch sizes <strong>of</strong> fuels <strong>in</strong> different amount categories<br />

The effect <strong>of</strong> the spatial arrangement <strong>of</strong> fuels <strong>for</strong> <strong>fire</strong> control is considered <strong>in</strong> Chapter 7.<br />

Fire and adaptive <strong>management</strong> 49

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