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ALGORITHM DEVELOPMENT<br />

The study area, Great Lakes area, is located in <strong>the</strong> tr<strong>an</strong>sitional zone for snow which experiences<br />

snow melting during <strong>the</strong> winter se<strong>as</strong>on. In addition to complexity of snow characteristics,<br />

variability of <strong>the</strong> l<strong>an</strong>d cover types makes it more difficult to accurately estimate SWE from p<strong>as</strong>sive<br />

microwave observations with a single linear model such <strong>as</strong> <strong>the</strong> one of Ch<strong>an</strong>g or Goodison-Walker<br />

(Ch<strong>an</strong>g et al, 1987, Goodison-Walker 1995). Figure (8) shows that <strong>the</strong> slope of <strong>the</strong> best fitted<br />

equations varies for different test sites (2, 9, <strong>an</strong>d 18). These test sites have different l<strong>an</strong>d cover<br />

type <strong>an</strong>d different NDNI values. In order to qu<strong>an</strong>titatively account for scattering attenuation<br />

originating from forested are<strong>as</strong>, NDVI values are suggested to use. Figure (9) illustrates <strong>the</strong><br />

variation of slope <strong>an</strong>d NDVI for winter 2003–2004 for all <strong>the</strong> sites. Both NDVI <strong>an</strong>d <strong>the</strong> slope have<br />

<strong>the</strong> same trend. This indicates that <strong>the</strong> incre<strong>as</strong>e of NDVI makes <strong>the</strong> slope of <strong>the</strong> relationship<br />

steeper.<br />

16<br />

14<br />

12<br />

10<br />

Slope (m)<br />

8<br />

6<br />

4<br />

2<br />

Winter 03-04, Variation of NDVI with <strong>the</strong> slope of SWE vs GTVN<br />

Slope<br />

NDVI<br />

0<br />

-0.1<br />

0 5 10 15 20<br />

Test site<br />

0.3<br />

0.25<br />

0.2<br />

0.15<br />

NDVI<br />

0.1<br />

0.05<br />

0<br />

-0.05<br />

114<br />

6<br />

5<br />

4<br />

Slope<br />

3<br />

2<br />

1<br />

0<br />

03-04 Slopes<br />

SD Slopes <strong>an</strong>d NDVI<br />

0 5 10 15 20<br />

Test site<br />

0.15<br />

NDVI<br />

Figure 9. Variations of <strong>the</strong> slope of <strong>the</strong> bets fitted line to scatter plots with NDVI for <strong>the</strong> test sites for winter<br />

03–04, SWE vs. GTVN (left), SD vs. GTVN (right)<br />

The scatter plots of slope versus NDVI for SWE <strong>an</strong>d snow depth are illustrated in figure 10. The<br />

modified scatter plot for 2002–2003 is for <strong>the</strong> test sites that snow depth vs scattering signature<br />

GTVN (19v–37v) showed correlation coefficient more th<strong>an</strong> 50 percent.<br />

Slope<br />

slope<br />

16<br />

14<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

0<br />

Winter 03–04 , SWE (mm) Winter 03–04, <strong>Snow</strong> depth (cm)<br />

0 0.05 0.1 0.15 0.2 0.25 0.3<br />

NDVI<br />

slope<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

NDVI<br />

0.3<br />

0.25<br />

0.2<br />

0.1<br />

0.05<br />

0<br />

-0.05<br />

0 0.05 0.1 0.15 0.2 0.25 0.3<br />

Winter 02–03, <strong>Snow</strong> depth (cm) Winter 02–03, <strong>Snow</strong> depth (cm), Modified<br />

0 0.05 0.1 0.15 0.2 0.25 0.3<br />

NDVI<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

NDVI<br />

0<br />

0 0.05 0.1 0.15 0.2 0.25 0.3<br />

Figure 10. Variation of <strong>the</strong> derived slope from <strong>the</strong> scatter plots vs. NDVI<br />

slope<br />

NDVI<br />

-0.1

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