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7th Workshop on Forest Fire Management - EARSeL, European ...

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Multi-criteria fuzzy-based approach for mapping burned areas in southern Italy with ASTER imagery 123<br />

synthetic score by applying a weighted average (WA) operator with weights<br />

derived from results of separability analysis. The WA map is used to extract<br />

burn seeds (WA>0.7 and cluster size >0.5 ha) and the final burned areas<br />

map is obtained by applying a regi<strong>on</strong> growing algorithm (WA_RG). All the<br />

maps produced are then filtered with a 3x3 median filter and <strong>on</strong>ly polyg<strong>on</strong>s<br />

greater that 1 ha are retained as fire affected areas. Validati<strong>on</strong> was performed<br />

<strong>on</strong> the third data set. WA_RG maps were compared to polyg<strong>on</strong>s identified<br />

from visual interpretati<strong>on</strong> to derive the error matrix and the accuracy<br />

measurements (C<strong>on</strong>galt<strong>on</strong>, 1991).<br />

3 - Results and discussi<strong>on</strong><br />

Separability analysis showed that NBR is the index that better separates the<br />

burn class from other surfaces and c<strong>on</strong>sequently presents the highest weight<br />

(21%) in the final score (WA). CSI (19%) and SAVI (17%) resulted also<br />

important while the lower weight was assigned to MIRBI (13%). Finally BAI<br />

and NIR complete the weight vector with about 15% of importance each.<br />

NBR BAI NIR CSI SAVI MIRBI<br />

Vegetati<strong>on</strong> 1.99 1.63 1.55 1.74 1.87 1.38<br />

Shadow 1.74 0.53 0.42 1.67 1.19 0.20<br />

Soil 1.10 1.42 1.50 1.01 0.92 1.54<br />

AVG 1.61 1.20 1.16 1.47 1.33 1.04<br />

Weight 21% 15% 15% 19% 17% 13%<br />

Table 2 - Single classes and average (AVG) separability score for each SI. Relative importance<br />

and weights to be used in the WA operator were derived from average values.<br />

The parameters of the sigmoid fuzzy functi<strong>on</strong>s interpolating the SI histograms<br />

are reported in table. The functi<strong>on</strong>s have been c<strong>on</strong>strained to f=0<br />

for values above or below which pixels are not c<strong>on</strong>sidered burned (see<br />

Stroppiana et al., 2009).<br />

Sigmoid functi<strong>on</strong>: * SI - µ −1 ** SI - µ −1<br />

f = 1 + exp [( ---------------)] f = 1 + exp [( ---------------)]<br />

NBR* BAI** NIR* CSI* SAVI* MIRBI**<br />

µµ 0.20 63.90 0.20 1.34 0.17 1.49<br />

σσ 0.05 7.62 0.00 0.13 0.01 0.05<br />

threshold ≤ -0.3 - ≤ 0.1 ≤ 0.55 ≤ 0.05 ≥ 2.0<br />

σ σ<br />

Table 3 - Parameters of the membership functi<strong>on</strong>s derived by interpolati<strong>on</strong> of training data.

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