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averaged to reduce bi<strong>as</strong> in this variable. For sites with complete snow cover, a total of 4 snow core<br />
samples were collected. This number w<strong>as</strong> reduced proportionally for partially covered sites. For<br />
example, only 2 cores were collected from sites determined <strong>as</strong> having 50% snow coverage, <strong>an</strong>d<br />
just 1 core w<strong>as</strong> collected from sites with 25% snow cover. This rationale w<strong>as</strong> used to satisfy <strong>the</strong><br />
requirement that <strong>the</strong> cores be taken r<strong>an</strong>domly within each site. Thus, if a site w<strong>as</strong> found to have<br />
50% snow cover, <strong>the</strong>n <strong>the</strong> probability of r<strong>an</strong>domly selecting a sampling location containing snow<br />
is only 50%. In this situation, <strong>the</strong> 2 core samples that were not actually collected were simply<br />
given zero values for <strong>the</strong>ir core lengths, depths, weights, <strong>an</strong>d densities.<br />
The core samples were obtained using E<strong>as</strong>tern <strong>Snow</strong> Conference (ESC-30) snow core tubes.<br />
Me<strong>as</strong>urements from <strong>the</strong> core samples include <strong>the</strong> actual depths of <strong>the</strong> snow packs from where <strong>the</strong><br />
cores were removed, <strong>the</strong> lengths of <strong>the</strong> cores, <strong>an</strong>d <strong>the</strong>ir weights. The lengths <strong>an</strong>d weights of <strong>the</strong><br />
cores were used to calculate <strong>the</strong> core densities <strong>an</strong>d ground SWE me<strong>as</strong>urements. <strong>Snow</strong> densities,<br />
represented <strong>as</strong> g/cm 3 , were b<strong>as</strong>ed on <strong>the</strong> average of <strong>the</strong> 0 to 4 core samples.<br />
A snow pit w<strong>as</strong> dug at each sampling site <strong>an</strong>d a detailed snow pack profile w<strong>as</strong> made that<br />
included <strong>the</strong> snow pack’s total depth, <strong>the</strong> number of layers <strong>an</strong>d ice lenses within <strong>the</strong> snow pack,<br />
<strong>the</strong> depth <strong>an</strong>d snow grain size of each layer (using Sears snow crystal screens, labeled with 1–3<br />
mm grids), a qualitative description of each layer, <strong>an</strong>d <strong>the</strong> air <strong>an</strong>d snow/ground interface<br />
temperatures. A total of 16 depth me<strong>as</strong>urements were made around each snow pit using 15-metre<br />
long ropes <strong>as</strong> guides for <strong>the</strong> purpose of consistently collecting <strong>the</strong> depth me<strong>as</strong>urements from 30metre<br />
diameter circles. Depth me<strong>as</strong>urements to <strong>the</strong> nearest one-half centimetre were made using 1metre<br />
long depth probes. The depth me<strong>as</strong>urements from each site were used to calculate <strong>the</strong><br />
average depths within <strong>the</strong> sites, which were <strong>the</strong>n used <strong>as</strong> representative values for <strong>the</strong> sampling<br />
sites. The average depths are b<strong>as</strong>ed on <strong>the</strong> 16 r<strong>an</strong>dom depth me<strong>as</strong>urements recorded from <strong>the</strong><br />
circle around <strong>the</strong> snow pit along with <strong>the</strong> 0 to 4 depth me<strong>as</strong>urements recorded from <strong>the</strong> snow core<br />
samples.<br />
O<strong>the</strong>r data recorded included <strong>the</strong> sampling dates <strong>an</strong>d times, wea<strong>the</strong>r observations, <strong>an</strong>d l<strong>an</strong>d<br />
cover types.<br />
In-situ Data Processing<br />
Two data sets were created from <strong>the</strong> ground sampled data in order to better underst<strong>an</strong>d how<br />
snow properties over a partial snow cover are m<strong>an</strong>ifested in <strong>the</strong> remotely sensed SWE estimates.<br />
In <strong>the</strong> “<strong>Snow</strong>-Only” data set, only those snow depth me<strong>as</strong>urements that were greater th<strong>an</strong> zero<br />
were included in <strong>the</strong> average depth, density, <strong>an</strong>d ground SWE calculations. For example, if a site<br />
w<strong>as</strong> found to have snow depth readings of 3, 4, 0, 1, <strong>an</strong>d 4 cm, <strong>the</strong>n <strong>the</strong> average depth for that site<br />
w<strong>as</strong> recorded <strong>as</strong> 3.0 cm ( (3 + 4 + 1 + 4) / 4 ), excluding <strong>the</strong> zero value. Conversely, <strong>the</strong> same site<br />
in <strong>the</strong> “Actual-Conditions” data set would have a me<strong>an</strong> depth of 2.4 cm ( (3 + 4 + 0 + 1 + 4 / 5) ).<br />
From each of <strong>the</strong>se data sets, four SWE estimates were calculated. The first ground SWE value,<br />
“Core_SWE,” represents <strong>the</strong> SWE calculated by using <strong>the</strong> me<strong>an</strong> SWE from <strong>the</strong> snow cores only.<br />
The second SWE value, “Derived_SWE,” is representative of <strong>the</strong> me<strong>an</strong> value for <strong>the</strong> Core_SWE<br />
plus <strong>the</strong> SWE derived from <strong>the</strong> 16 depth me<strong>as</strong>urements using <strong>the</strong> average density for each<br />
sampling site. The remaining SWE values, “Fractional_Core_SWE” <strong>an</strong>d<br />
“Fractional_Derived_SWE” are represented by <strong>the</strong> previous SWE values weighted by <strong>the</strong><br />
<strong>Snow</strong>_Cover_Percent, respectively. Four SWE values were deemed necessary to investigate <strong>the</strong><br />
most accurate way of representing SWE over a patchy snow cover.<br />
Remote Sensing Data<br />
The remote sensing images were re-projected to a UTM projection for <strong>an</strong>alysis in ArcGIS. Each<br />
pixel centroid w<strong>as</strong> <strong>as</strong>sumed to be a point, <strong>an</strong>d pixel footprints were created using Thiessen<br />
polygons. The Thiessen polygon algorithm segments <strong>the</strong> me<strong>as</strong>urement space into polygons such<br />
that every polygon encloses <strong>the</strong> region closest to each pixel centroid (O’Sulliv<strong>an</strong> <strong>an</strong>d Unwin,<br />
2003). Although <strong>the</strong> algorithm does not produce perfectly squared pixels, <strong>the</strong> fact that <strong>the</strong><br />
algorithm me<strong>as</strong>ures <strong>the</strong> mid-points between <strong>the</strong> pixel centroids ensures that <strong>the</strong> spatial resolutions<br />
of <strong>the</strong> remote sensing data sets are preserved.<br />
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