2.2 Sample site and applied data
The sample site is selected at the place where Tianshan Station
for Snowcover & Avalanche Research sits. It is located at the
western section of Tianshan Mountains at 43?16'N and 84?24'E
and at an altitude of 1,776 meters above sea level. Annual
average precipitation for this area is 830.2 mm (XIEG, 2012).
Snow depth information in the first quarter of a year is focused
on so as to cover the period from snow falling to snow melting.
Data from 2008 to 2010 are collected. Apart from some missing
data, 265 samples (days) are involved in the following analysis.
2.3 Data preprocessing
As for long-term snow depth dataset of China, daily snow depth
information can be directly extracted. While GlobSnow SWE
product only provides snow water equivalent rather than snow
depth information. A conversion algorithm between these two
parameters should be adopted to make the two datasets
comparable. The following formula can be used to determine
snow water equivalent from snow depth and density:
SWE = SD * Psnow {Pater (1)
Where SWE = snow water equivalent;
SD = snow depth;
Psnow = Snow density;
Pwater = Water density.
Since snow density might be different at different places,
conversion of snow depth to snow water equivalent will bring
data uncertainty. Thus, we convert snow water equivalent to
snow depth in our experiment, according to the assumption of a
constant snow density of 0.23 g/cm’ for Eurasia in the retrieval
algorithm of GlobSnow SWE product (Pulliainen, 2006).
2.4 Examination of data consistency
2.4.1 Regression model: Scatter plot is usually adopted to
visualize the relationship between two variables. Dots in scatter
plot should be concentrated on the line of y =x if two
variables measure the same value. For this study, suppose snow
depth measurements from two different methods are nearly the
same, a simple linear regression can be used to express their
relationship:
Y = bX (2)
Where Y = one measurement by method A;
X = another measurement by method B;
b = the slope of regression line.
In this regression model, snow depth from long-term snow
depth dataset of China is set as independent variable (X); and
snow depth retrieved from GlobSnow SWE product is set as
dependent variable (Y). The intercept of regression line is
supposed to be zero when snow depth from /ong-term snow
depth dataset of China shows a zero value. Therefore, the
constant in linear regression model is not included.
If two datasets have a good consistency, the slope of b should
be close to 1. Larger than 1 means the estimation of GlobSnow
SWE product tends to be larger than that of long-term snow
depth dataset of China, and vice versa.
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXIX-B7, 2012
XXII ISPRS Congress, 25 August — 01 September 2012, Melbourne, Australia
2.4.2 Intra-class Correlation Coefficient: Intra-class
correlation coefficient (ICC) is commonly used in
psychological studies to measure the reliability of
measurements from two or more judges (McGraw & Wong,
1996). It reflects the extent to which ratings of the same group
given by different judges tend to be alike. People tried to use it
for answering the question whether two methods can be used
interchangeably (Bland & Altman, 1990). In this study, this
index is used for evaluating the consistency of snow depth
measurements from two different snow depth retrieval methods.
When using ICC to measure the agreement of ratings, one
should choose an appropriate ICC model through making three
decisions: (1) which variance model should be adopted: one-
way, two-way random or two-way fixed; (2) are you interested
in absolute agreement or just the consistent ratings without the
same actual scores? (3) whether you plan to rely on a single
judge or a combination of several judges? (Shrout & Fleiss,
1979; Norusis, 2012). As for this study, two-way random model
with ICC type of absolute agreement is chosen. Average
measurement for multiple judges is employed. The value of ICC
should be between 0 and 1. The larger the ICC value is, the
better the data consistency shows.
3. RESULTS AND ANALYSIS
Figure 1 gives an overall perspective of the consistency of snow
depth measurements from different snow products. Although a
big part of samples show a good data consistency which are
concentrated on or crossed by the reference line y = x, many
dots are still far away from the line. Dots near the bottom (the
horizontal axis) mean that some samples detected with snow
cover in EESDCWestChina product are reported as snow-free
samples in GlobSnow product. Besides, according to the slope
of regression line in Table 1, 0.76 is not close to 1, which
means these two datasets do not correlate well.
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EESDCWestChina snow depth product unit mm
Figure 1. Scatter plot of EESDCWestChina snow depth
measurement against snow depth retrieved from
GlobSnow SWE product at sample site for the first
quarter of the year of 2008 to 2010
When examining data consistency by different years, results
show that snow depth measurement has a low level consistency
in 2008 with the slope of 0.63 and a higher level consistency in
2010 with the slope of 0.93 separately (see Table 1).