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l<strong>an</strong>d cover is not considered <strong>as</strong> part of equation in <strong>the</strong> algorithm, <strong>the</strong> model is not very accurate.<br />

Ch<strong>an</strong>g et al. (1987) related <strong>the</strong> difference between <strong>the</strong> SMMR brightness temperatures in 37 GHz<br />

<strong>an</strong>d 18 GHz ch<strong>an</strong>nels to derive snow depth – brightness temperature relationship for a uniform<br />

snow field, SD=1.59 [Tb 18H–Tb37H]. Goodison <strong>an</strong>d Walker (1995) introduced <strong>an</strong>o<strong>the</strong>r<br />

algorithm to estimate SWE using SSM/I ch<strong>an</strong>nels. They used vertical gradient (GTV) between<br />

brightness temperatures at 37 GHz <strong>an</strong>d 19 GHz <strong>an</strong>d defined a linear relationship between SWE <strong>an</strong>d<br />

GTV. This gradient value is obtained by subtracting <strong>the</strong> brightness temperature, Tb at frequencies<br />

of 37 <strong>an</strong>d 19 GHz <strong>an</strong>d dividing it by a const<strong>an</strong>t (Goodison, Walker 1995). Grody (1996)<br />

developed <strong>an</strong> image cl<strong>as</strong>sification algorithm to generate global snow map from Special Sensor<br />

Microwave Imager (SSM/I) data. The algorithm employs a decision tree technique <strong>an</strong>d uses<br />

thresholds to filter out precipitation, warm desert, cold desert <strong>an</strong>d frozen surfaces. De Seve et al.<br />

(1997) applied two previously developed models by Hallikainen <strong>an</strong>d Goodison-Walker to James<br />

Bay area in La Gr<strong>an</strong>de River watershed, Quebec, C<strong>an</strong>ada to estimate SWE using SSM/I images.<br />

The investigations revealed that both models tend to underestimate SWE especially when SWE<br />

w<strong>as</strong> more th<strong>an</strong> 200mm. A modified version of Goodison-Walker algorithm w<strong>as</strong> suggested. Foster<br />

et al. (1999) have modeled various snow crystals shapes in different sizes <strong>an</strong>d concluded that <strong>the</strong><br />

shape of <strong>the</strong> crystal h<strong>as</strong> little effect on <strong>the</strong> scattering in microwave. A physically b<strong>as</strong>ed snow<br />

emission model w<strong>as</strong> introduced by Pulliainen et al. (1999) of Helsinki University of technology<br />

(HUT snow emission model). The model <strong>as</strong>sumes that scattering of <strong>the</strong> microwave radiation<br />

inside <strong>the</strong> medium is mostly in forward direction. The scattering coefficient is weighted by <strong>an</strong><br />

empirical factor. The brightness temperature is computed by solving <strong>the</strong> radiative tr<strong>an</strong>sfer<br />

equation. A boreal forest c<strong>an</strong>opy model proposed by Kurvonen et al. (1994) w<strong>as</strong> used to account<br />

for <strong>the</strong> influence of vegetation on <strong>the</strong> brightness temperature. Atmospheric effects were neglected<br />

<strong>an</strong>d <strong>the</strong> snow grain size w<strong>as</strong> allowed to vary in <strong>the</strong> model. Derksen (2004) carried out a detailed<br />

evaluation of SWE <strong>an</strong>d SCE derived using SMMR <strong>an</strong>d SSM/I data over <strong>the</strong> south Central part of<br />

C<strong>an</strong>ada. The new technique to infer SWE from satellite data incorporated different algorithms,<br />

open environments, deciduous, coniferous, <strong>an</strong>d spars forest cover <strong>an</strong>d calculated SWE <strong>as</strong> weighted<br />

average of all four estimates. SWE = FDSWED + FC SWEC + FS SWES + FOSWEO, where (F) is <strong>the</strong><br />

fraction of each l<strong>an</strong>d cover type within a pixel, D, C, S, <strong>an</strong>d O correspondingly represent<br />

deciduous forest, coniferous forest, S sparse forest, <strong>an</strong>d O open prairie environments. P<strong>as</strong>sive<br />

microwave dat<strong>as</strong>et <strong>an</strong>d in situ SWE observation were compared <strong>an</strong>d showed that <strong>the</strong> SMMR<br />

brightness temperature adjustments are required to produce SWE that would fit SWE inferred<br />

from SSM/I. SWE <strong>an</strong>d SCE time series for December through March for a period of 88 years were<br />

<strong>an</strong>alyzed to examined <strong>the</strong> variability of SWE <strong>an</strong>d SCE (Derksen, 2004). Tedesco et al. (2004)<br />

proposed <strong>an</strong> Artificial Neural Network (ANN) technique for <strong>the</strong> retrieval of SWE from SSM/I<br />

data. They have used a multilayer perceptron (MLP) with various inputs to estimate SWE. First,<br />

brightness temperatures simulated by me<strong>an</strong>s of HUT snow estimation model were employed. The<br />

second approach made use of a subset of me<strong>as</strong>ured values. The input layer consists of four<br />

neurons, made up of 19 <strong>an</strong>d 37 GHz vertical <strong>an</strong>d horizontal brightness temperatures <strong>an</strong>d <strong>the</strong> output<br />

w<strong>as</strong> snow parameters. The results showed higher perform<strong>an</strong>ce of ANN model compare to o<strong>the</strong>r<br />

methods. In 2005 Derksen conducted a study to <strong>as</strong>sess <strong>the</strong> accuracy of <strong>an</strong> inter-<strong>an</strong>nually consistent<br />

zone of high p<strong>as</strong>sive microwave derived SWE retrievals co-located with <strong>the</strong> C<strong>an</strong>adi<strong>an</strong> nor<strong>the</strong>rn<br />

boreal forest, using extended tr<strong>an</strong>sects of in situ snow cover me<strong>as</strong>urements (Derksen, 2005). The<br />

research conducted by Kelly et al. (2001) w<strong>as</strong> focused at <strong>the</strong> development of a global snow<br />

monitoring for The Adv<strong>an</strong>ced Microwave Sc<strong>an</strong>ning Radiometer – EOS (AMSR-E) onboard Aqua<br />

satellite. The proposed algorithm had <strong>the</strong> following form: SWE (mm) = B*(TbH18–TbH37),<br />

where TbH18 <strong>an</strong>d TbH37 are horizontal polarized brightness temperature at 18 <strong>an</strong>d 37 GHz <strong>an</strong>d B<br />

coefficient h<strong>as</strong> been calibrated <strong>as</strong> 4.8 mm K –1 for SMMR data. Latter Kelly et al. (2003) described<br />

<strong>the</strong> development <strong>an</strong>d testing of <strong>an</strong> algorithm to estimate global snow cover volume from<br />

spaceborne p<strong>as</strong>sive microwave, AMSR-E.<br />

The above algorithms used <strong>the</strong> spectral difference between microwave ch<strong>an</strong>nels from various<br />

sensors to estimate SWE or snow depth. However o<strong>the</strong>r snow or l<strong>an</strong>d parameters such <strong>as</strong> snow<br />

grain size <strong>an</strong>d l<strong>an</strong>d cover type <strong>an</strong>d conditions have effects on scattering in microwave. Although,<br />

some researchers introduced l<strong>an</strong>d cover type to <strong>the</strong>ir models but <strong>the</strong>ir algorithms were developed<br />

106

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