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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-21-5263-2017</article-id><title-group><article-title>Measuring precipitation with a geolysimeter</article-title>
      </title-group><?xmltex \runningtitle{Measuring precipitation with a geolysimeter}?><?xmltex \runningauthor{C.~D.~Smith et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Smith</surname><given-names>Craig D.</given-names></name>
          <email>craig.smith2@canada.ca</email>
        <ext-link>https://orcid.org/0000-0002-6552-1486</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>van der Kamp</surname><given-names>Garth</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Arnold</surname><given-names>Lauren</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schmidt</surname><given-names>Randy</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Environment and Climate Change Canada, Climate Research Division,
Saskatoon, S7N 3H5, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Environment and Climate Change Canada, Watershed Hydrology and
Ecology Research Division,<?xmltex \hack{\newline}?> Saskatoon, S7N 3H5, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Craig D. Smith (craig.smith2@canada.ca)</corresp></author-notes><pub-date><day>19</day><month>October</month><year>2017</year></pub-date>
      
      <volume>21</volume>
      <issue>10</issue>
      <fpage>5263</fpage><lpage>5272</lpage>
      <history>
        <date date-type="received"><day>23</day><month>March</month><year>2017</year></date>
           <date date-type="rev-request"><day>21</day><month>April</month><year>2017</year></date>
           <date date-type="rev-recd"><day>14</day><month>August</month><year>2017</year></date>
           <date date-type="accepted"><day>8</day><month>September</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017.html">This article is available from https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017.pdf</self-uri>


      <abstract>
    <p>Using the relationship between measured groundwater pressures in deep
observation wells and total surface loading, a geological weighing lysimeter
(geolysimeter) has the capability of measuring precipitation event totals
independently of conventional precipitation gauge observations. Correlations
between groundwater pressure change and event precipitation were observed at
a co-located site near Duck Lake, SK, over a multi-year and multi-season
period. Correlation coefficients (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> varied from 0.99 for rainfall to
0.94 for snowfall. The geolysimeter was shown to underestimate rainfall by
7 % while overestimating snowfall by 9 % as compared to the
unadjusted gauge precipitation. It is speculated that the underestimation of
rainfall is due to unmeasured run-off and evapotranspiration within the
response area of the geolysimeter during larger rainfall events, while the
overestimation of snow is at least partially due to the systematic undercatch
common to most precipitation gauges due to wind. Using recently developed
transfer functions from the World Meteorological Organization's (WMO) Solid
Precipitation Intercomparison Experiment (SPICE), bias adjustments were
applied to the Alter-shielded, Geonor T-200B precipitation gauge measurements
of snowfall to mitigate wind-induced errors. The bias between the gauge and
geolysimeter measurements was reduced to 3 %. This suggests that the
geolysimeter is capable of accurately measuring solid precipitation and can
be used as an independent and representative reference of true precipitation.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>It is well recognized that it is difficult to accurately measure solid
precipitation with an accumulating precipitation gauge on account of the
systematic undercatch due to wind (e.g. Sevruk et al., 1991; Goodison et al.,
1998; Kochendorfer et al., 2017a). For example, it has been shown that the
single Alter-shielded, Geonor T-200B precipitation gauge could underestimate
snowfall by as much as 60 % at average wind speeds
(<inline-formula><mml:math id="M2" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 m s<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at gauge height) on the Canadian Prairies (Smith,
2009). The World Meteorological Organization's (WMO) Solid Precipitation
Intercomparison Experiment (SPICE) as described by Nitu et al. (2012) and
Rasmussen et al. (2012) has recently documented similar results, with
Alter-shielded and unshielded gauges undercatching snowfall by an average of
<inline-formula><mml:math id="M4" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 and <inline-formula><mml:math id="M5" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60 % respectively at gauge height wind speeds of
5 m s<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Kochendorfer et al., 2017a). This undercatch represents a
large error in precipitation measurement, especially in cold regions, and
could have a significant impact on water resource forecasting, climate trend
analysis, and hydrological model initialization and validation (Barnett et
al., 2005; Pomeroy et al., 2007).</p>
      <p>During the first WMO Solid Precipitation Intercomparison (1986–1993), the
WMO recommended that it was necessary to designate a reference standard
precipitation gauge to which all other precipitation gauges can be compared
(Yang, 2014; Yang et al., 1993). The WMO recommended that a double fence
intercomparison reference (DFIR) be accepted as the standard for the
measurement of solid precipitation (Goodison et al., 1998). The originally
recommended DFIR configuration consisted of a large (12 m), octagonal double
fence, with a manually observed Tretyakov precipitation gauge in the centre.
The decision to use the DFIR as a reference was based on intercomparisons
with a Tretyakov “bush”-shielded gauge at the Valdai experimental site,
where the DFIR closely matched the precipitation totals recorded by the
bush-shielded gauge, which was considered to be a true estimate of snowfall
(Golubev, 1986). A more recent long-term (1991–2010) intercomparison between
the DFIR and Valdai bush gauge by Yang (2014) documented that the Valdai bush
gauge can measure up to 20–50 % more snow over a 12 h period than the
DFIR for wind speeds of 6–7 m s<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with the DFIR showing an average
undercatch of 3–6 % over the entire wind range. The results of
Yang (2014) clearly indicate that it is still necessary to correct the DFIR
for the wind-induced undercatch of solid precipitation in order
to be used as a reference for true
precipitation. For SPICE, the manual gauge inside the wind fence was replaced
by an automated gauge and the configuration was called the double fence
automated reference or DFAR (Nitu et al., 2012). The DFAR as a reference is
traceable back to the bush-shielded gauge at Valdai (Nitu and Roulet, 2016),
but there really is not an independent verification of what the “true”
precipitation amounts really are. This study presents a novel approach for
using measurements of groundwater pressure in deep observation wells as an
indirect method for recording precipitation events. The groundwater pressure
measurements have the advantage of integrating over a much larger area than
traditional point location precipitation gauges (hectares vs. a point
measurement) and are not subject to wind-induced errors, providing an
independent and potentially more robust measure of the true precipitation
reaching the ground than a DFAR/DFIR.</p>
      <p>A method of measuring an uninterrupted record of the total moisture balance
on a scale of hectares, utilizing measurements of groundwater pressures in
underlying saturated formations, has been previously discussed in the
literature (van der Kamp and Maathuis, 1991; Bardsley and Campbell, 1994,
2007; van der Kamp and Schmidt, 2017). The resulting moisture balance data
derived from these groundwater observations are similar to those obtained by
conventional square-metre scale weighing lysimeters but function on a much
larger scale and with no significant hydrologic disturbance of the site. This
moisture balance measurement technique has previously been referred to as an
aquifer lysimeter (Bardsley and Campbell, 1994) or a piezometric lysimeter
(Barr et al., 2000), but more commonly it has been called a geological
weighing lysimeter (Sophocleous et al., 2006; Bardsley and Campbell, 2007),
and hereafter it will be described as a geolysimeter. The geolysimeter has
been described for measuring site water balance (van der Kamp and Schmidt,
1997; Barr et al., 2000; Anochikwa et al., 2012), for evaluating hydrologic
models (Marin et al., 2010), and for comparison with regional gravity changes
as measured by the Gravity Recovery and Climate Experiment (GRACE) satellite
(Lambert et al., 2013). Previous publications have suggested that the
geolysimeter method could be used for inferring precipitation on a scale of
hectares (van der Kamp and Schmidt, 1997; Barr et al., 2000, Sophocleous et
al., 2006, van der Kamp and Schmidt, 2017), making use of piezometer data
measured within low-permeability aquitards at depths of a few tens of metres.
Bardsley and Campbell (1994) state that a case could be made that this
technique is a better recorder than a rain gauge for brief intense
precipitation events because it has the advantage of integrating rainfall
over a much larger area. The larger integration area for measuring
precipitation would make this measurement method less susceptible to outlier
measurement errors at point locations. Both Bardsley and Campbell (2007) and
Barr et al. (2000) report a close correspondence between co-located
geolysimeter and precipitation gauge measurements but do not include detailed
quantitative analysis of this correspondence. Previous intercomparisons also
do not include a discussion on the measurement of snowfall.</p>
      <p>The objective of this paper is to analyze changes in the water-level records
from a deep-well geolysimeter and compare those to event-based precipitation
records measured with a co-located precipitation gauge. This intercomparison
will help to evaluate the potential use of geolysimeters as an independent
and accurate reference measure of precipitation to be used for validating a
variety of precipitation gauges, with a focus on providing an improved means
of validating the measurement of solid precipitation.</p>
</sec>
<sec id="Ch1.S2">
  <title>Groundwater theory</title>
      <p>The operating principle of a geolysimeter is that changes in total
mechanical load above a deep confined geological formation are transmitted
instantaneously to the groundwater pressure inside that formation. This load
transmission is a basic principle of soil mechanics. It has long been
recognized in the groundwater literature, especially with respect to the
analysis of the effects of atmospheric pressure changes on the water levels
in deep observation wells (Jacob, 1940).</p>
      <p>In the hydrogeology context, a “confined” formation is a saturated porous
formation that is isolated from the shallow water table by overlying
low-permeability formations. Changes in the water table elevation are at most
transmitted only very slowly to the groundwater pressure in confined
formations, and vice versa, changes in groundwater pressure in the confined
formation are dissipated at most only very slowly by flow to the water table.
For typical precipitation events, with a duration of at most a few days, the
induced groundwater pressure changes in a confined formations are not
significantly dissipated by flow of the groundwater (e.g. van der Kamp and
Maathuis, 1991; Anochikwa et al., 2012; Freeze and Cherry, 1979, p. 229; van
der Kamp and Schmidt, 2017).</p>
      <p>Changes in atmospheric pressure are a particular type of surface load that
are easily measured with barometers allowing for a correction of these
effects. Once the atmospheric effects have been removed, the responses of
deep observation well pressure measurements to other types of surface load
changes are observable. The change in surface load is borne in part by the
groundwater in the saturated pores of a confined formation and in part by
the solid skeleton of the formation. The proportion of the load change that
is carried by the pore water is referred to as the “loading efficiency”
and is constant for a particular observation site, being a property of the
porosity and compressibility of the formation and of the pore water. Thus,
the loading efficiency of a confined formation can be determined from its
measured response to atmospheric pressure fluctuations that are also
recorded at or near the site of an observation well (e.g. Anochikwa et al.
2012). Typical values of loading efficiency are in the range of 0.60 to 0.95
for sands and 0.90 to 0.99 for clays and clay-rich glacial tills. The
groundwater pressure in confined formations may also be subject to small
earth tides, typically with a magnitude of a few millimetres to a few centimetres in terms of
water-level change. The earth tide effects can be removed by using the Tsoft
code (van Camp and Vauterin, 2005) to calculate the tidal acceleration at
the location of the observation well (Anochikwa et al., 2012).</p>
      <p>During a precipitation event on unfrozen ground, the water that falls on the
ground either enters into the soil by infiltration or it runs off over the
surface if the infiltration capacity of the soil is exceeded. Some
evaporation may also occur, but it is generally small because the air near
the ground tends to be near saturation during precipitation. For snow events
on frozen ground, the snow accumulates on the ground surface with negligible
infiltration or surface run-off, but wind and sublimation can result in the
loss and/or redistribution of snow in the tree canopies and on the ground.
If losses of the precipitated water from the response area of a deep
observation well by evaporation, sublimation, run-off, and wind are very
small, then the total change in water load on the surface is equal to the
precipitation that fell. This change in load can be accurately measured by
means of measuring the pore water pressure inside deep observation wells.</p>
      <p>A geolysimeter senses approximately 90 % of the changes in total surface
loading over a response area with a radius of approximately 10 times the
depth of the observation well if the geolysimeter is installed in an
aquitard formation with low permeability (van der Kamp and Schmidt, 1997).
For such formations, spreading out of the moisture loading signal by lateral
flow is limited. For geolysimeters installed in permeable aquifers, as is
the case for most observation wells, the response area may be larger if the
moisture loading event is of long duration so that lateral groundwater flow
in the aquifer distributes the pore pressure changes resulting from the
moisture load. For short-term events lasting at most a few days, such as
individual precipitation events, the response area is likely to be quite
well-defined by the “radius equal to 10 times the depth” rule of thumb, in
analogy with the limited spatial extent of groundwater pressure drawdown due
to pumping for pumping tests which typically have durations of hours or a
few days at most (Kruseman and de Ridder, 1994).</p>
</sec>
<sec id="Ch1.S3">
  <title>Experimental site</title>
      <p>The experimental site is located in the northern prairie region of North
America, 10 km north of the town of Duck Lake, Saskatchewan (Fig. 1 inset)
at 52.92<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N 106.22<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W. The co-located observation well
and precipitation gauge are located in an abandoned school yard, surrounded
by a shelter-belt of pine and spruce trees (Fig. 1). The regional setting
and landscape of the Duck Lake observation well site is described by Marin
et al. (2010). The well is completed at 124.6 m depth near the bottom of a
deep confined aquifer, which is overlain by 35 m of surficial sand and by an
82 m thick glacial till unit with extremely low-bulk hydraulic conductivity
of about 1 <inline-formula><mml:math id="M10" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m s<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or about 0.3 mm yr<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The area is
partially wooded, gently undulating with a few metres of local relief and
very slight regional slope. A small fen about 200 m north of the site lies
at the head of a shallow swale that conducts surface run-off during very wet
conditions and which is defined as MacFarlane Creek further downstream. The
wintertime base flow in the creek was estimated by Marin et al. (2010) to
be about 40 to 80 mm yr<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on a watershed run-off basis or about 0.1 to
0.2 mm day<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Location of the experimental site <inline-formula><mml:math id="M16" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 km north of Duck Lake,
Saskatchewan, Canada (inset), and the location of Duck Lake No. 2 observation
well and meteorological station centred in the geolysimeter response area,
with a radius of <inline-formula><mml:math id="M17" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.25 km or 10 times the well depth (white circle).</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f01.pdf"/>

      </fig>

      <p>The well was instrumented with automated recording equipment in 2007 and a
meteorological station in 2010. Prior to automation, water levels were
recorded from 1964 onward with float-actuated chart recorders. The long-term
record for the observation well (Duck Lake No. 2), plotted as monthly median
values, can be found on the Saskatchewan Water Security Agency website,
together with detailed information on the well completion data
(<uri>www.wsask.ca/Water-Info/Ground-Water/Observation-Wells/</uri>, last access:
10 October 2017).</p>
      <p>The long-term water-level record for the deep well has been shown to reflect
the total changes in water storage in the surrounding landscape on a
month-by-month basis (van der Kamp and Maathuis, 1991; Marin et al., 2010),
with well water-level changes closely correlated with precipitation events,
evapotranspiration, and losses of water by surface run-off (van der Kamp and
Schmidt, 2017). These previous studies demonstrate how the well acts as a
large-scale weighing lysimeter. Water-level records for the Duck Lake well
plus three other similar wells in southern Saskatchewan were compared to the
GRACE satellite changes in the region (Lambert et al., 2013) and
showed correspondence between the multi-year water storage changes reflected
in the well records and the regional change in mass as measured by GRACE.</p>
      <p>The automatic meteorological station at the Duck Lake geolysimeter site
measured air temperature and humidity at 1.5 m, wind speed and direction at
2 m, accumulated precipitation via a single Alter-shielded, Geonor T-200B
accumulating precipitation gauge, and snow depth. Observations were made and
recorded every 30 min and are available from November 2010 through March
2016 and beyond although with some breaks in the records, notably for most
of 2012, due to various equipment failures.</p>
</sec>
<sec id="Ch1.S4">
  <title>Methods</title>
      <p>The raw 30 min deep-well observations, sampled at the beginning of each 30 min
period, require an adjustment for the effects of atmospheric pressure
and earth tides in order to be comparable to precipitation loading.
Atmospheric pressure is measured by a pressure logger suspended inside the
well casing above the water level. The process of adjusting for atmospheric
pressure and earth tides is described in more detail by van der Kamp and
Schmidt (2017). For these well observations, the loading efficiency was
determined to be 0.798 on the basis of the observed response of the well to
barometric pressure changes. The barometric pressure changes, multiplied by
0.798, were subtracted from the recorded water-level changes. The earth tide
effects were removed using the Tsoft code (van Camp and Vauterin, 2005) to
calculate the tidal acceleration at the site (nm<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, subtracting these from the barometrically corrected water-level changes,
multiplied by a factor of 2.8 <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and determined by trial and error for
optimal removal. The water-level changes, with barometric and earth tide
effects removed, were multiplied by <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.798</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M23" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.253 to convert the
short-term changes to moisture loading responses. The 30 min well data were then smoothed using a Savitzky–Golay filter (Savitzky and Golay,
1964), and the positive increases were accumulated for each event for comparison with
the gauge observed precipitation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Water-level record for Duck Lake No. 2 observation well (piezometer)
compared with the accumulated precipitation from the gauge at the site
for the <bold>(a)</bold> 5–6 June 2010 rainfall event
and <bold>(b)</bold> 11–12 March 2011 snowfall event. The observation well
record has been corrected for the effects of atmospheric pressure changes and
earth tides and multiplied by 1.253 to convert the water-level change to an
equivalent moisture load change. Time is GMT (LST <inline-formula><mml:math id="M24" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6 h). The precipitation
data (red solid) have been filtered and accumulated, while both unfiltered (blue
solid) and filtered and accumulated (blue dashed) well data are shown.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f02.pdf"/>

      </fig>

      <p>The Geonor T-200B precipitation gauge had one vibrating wire transducer for
the derivation of bucket weight measurements. Precipitation falling through
a 200 cm<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> orifice is collected in the bucket and weighed by converting
the observed frequency of the vibrating wire transducer to the corresponding
bucket weight (in mm). The differential bucket weight over the measurement
period becomes the total precipitation amount for that period. The sensor
calibration was checked periodically by adding a known mass of water, which
was then compared to the sensor-determined change in bucket weight to
confirm near-zero calibration drift. The 30 min bucket weight
measurements were quality controlled by removing spurious and service-related jumps. Prior to calculating 30 min precipitation amounts, the bucket
weight time series was filtered using a “brute-force” technique of
balancing positive and negative noise in the signal (Pan et al., 2016) until
the accumulated positive changes exceed a threshold of 0.05 mm. The result
is a smoothed time series of 30 min bucket weights from which
precipitation is calculated as a differential.</p>
      <p>For the purpose of comparing the gauge precipitation to the change in well
pressure, precipitation was aggregated to events, where an event is defined
as a continuous precipitation period delineated by a break in precipitation
greater than 3 h. The main justification for aggregation is to allow
enough snow to accumulate on the surface to solicit a response from the
observation well. Rain events were aggregated in the same way for
consistency. Precipitation events were categorized as either snow or rain by
using 1.5 m air temperature. When the maximum air temperature for an event
was less than <inline-formula><mml:math id="M26" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the event was categorized as snow. When the
minimum air temperature for the event was more than 2 <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the
event was categorized as rain. No mixed events were considered in this
analysis, and events smaller than 0.5 mm were removed to further decrease
potential noise and erroneous precipitation measurements.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5">
  <title>Results</title>
      <p>Figure 2 illustrates typical responses of groundwater pressure in a deep
observation well to precipitation events plotted together with the
corresponding Geonor gauge record for both a rainfall (Fig. 2a) and a
snowfall (Fig. 2b) precipitation event. The figure, along with the
precipitation data which have been filtered, also shows both the raw well
load change (blue solid line) and the filtered and accumulated well load
change (blue dashed line).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Duck Lake geolysimeter event precipitation compared with gauge event
precipitation separated into rain and snow. Regression lines for rain and
snow and the 1 : 1 line are also shown.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f03.pdf"/>

      </fig>

      <p>The rain event for 4–5 June 2010 (Fig. 2a) of about 20 mm shows the
response of the moisture loading signal in the well to the accumulating rain
event. However, the moisture load change is clearly smaller than the gauged
precipitation by about 4 mm (using the accumulated load change). The likely
reason for the discrepancy is water loss from the area by surface outflow as
indicated by the sharp decline in moisture load during the night-time hours
immediately after that event and by the continuing decline in the following
days. Evapotranspiration was likely very small since relative humidity
during the night and following the precipitation event was 100 %. The
decline in water level in the well from 18:00 UTC (12:00 local) to 04:00 UTC
(22:00 local) prior to the event is likely indicative of evapotranspiration,
with relative humidity varying from 64 to 92 % (averaging 75 %). Since
the summer of 2010 was unusually wet in this region, with flooding reported
in many places, it is likely that fens near the study site became
hydrologically connected, resulting in a net water loss from the response
area of the well, which lies in the headwater area of MacFarlane Creek.</p>
      <p>The winter snow event of 10–11 March 2011, illustrated in Fig. 2b, shows a
close correspondence between the gauged cumulative precipitation and the
moisture load change. At this time of the year, evapotranspiration and
run-off were not substantial. The temperature varied in the range of
<inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3  to <inline-formula><mml:math id="M30" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16 <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and wind speed varied between 0.5 and 1.1 m s<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
indicating that wind-induced gauge bias and snow
redistribution and sublimation were minimal.</p>
      <p>During the observation period between 2010 and 2016, a total of 103 events
(56 snow and 47 rain events) were observed, varying in length from 9 to
108 h. The mean event length for snow was 38 h and the mean event length for
rain was 46 h, although these event lengths are artificially increased by
several hours both at the beginning and the end of the event to provide a
good baseline for both gauge and well observations.</p>
      <p>Summary statistics for the comparison between the geolysimeter and the gauge
event precipitation comparison are shown in Table 1 and the scatter plot and
regression lines are shown in Fig. 3. The correlation coefficient, <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>,
is 0.99 for both the combined rain and snow precipitation events (All) and
for rainfall events. The correlation is 0.94 for snow events. The slopes of
the regression line are consistent at 0.90 for All and rain and 0.93 for
snow. RMSD (root mean square deviation) varies from 2.3 mm for rain (with a
total gauge rainfall of 903 mm) to 0.8 for snow (with a total gauge snowfall
of 224 mm). With the rain and snow events combined, the geolysimeter shows a
negative bias of 35 mm. For rain, the geolysimeter has a negative bias of 59 mm, which is illustrated by the rain regression line (black dotted line with
open circles) shown in Fig. 3. Figure 3 illustrates the increasing degree of
geolysimeter underestimation for rainfall events of a larger magnitude. This
can likely be explained by the larger percentage of surface run-off that
occurs during large rainfall events versus smaller events. The magnitude of
the bias for rain appears to be related to the total event amount (Fig. 4)
with an <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.51. For snow, the bias is positive at 23 mm, with no
relation to the total precipitation amount (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> &lt; 0.10). The
comparison for snow, rescaled in Fig. 5 (blue dashed regression line), shows
the consistent geolysimeter overestimation (or the precipitation gauge
underestimation) of snowfall events of all magnitudes.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Summary statistics for the comparison of geolysimeter estimated
precipitation event amounts to corresponding gauge precipitation event
amounts at the Duck Lake site. Gauge precipitation observations are
considered to be the independent variable where <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> is the slope and
<inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is the intercept of the regression line. Bias is the gauge
precipitation subtracted from (mm) or divided by (%) the geolysimeter
precipitation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Precipitation</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">RMSD</oasis:entry>  
         <oasis:entry colname="col6">Total gauge</oasis:entry>  
         <oasis:entry colname="col7">Bias<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">Bias<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">type</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">(mm)</oasis:entry>  
         <oasis:entry colname="col6">precip (mm)</oasis:entry>  
         <oasis:entry colname="col7">(mm)</oasis:entry>  
         <oasis:entry colname="col8">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">All</oasis:entry>  
         <oasis:entry colname="col2">0.99</oasis:entry>  
         <oasis:entry colname="col3">0.90</oasis:entry>  
         <oasis:entry colname="col4">0.79</oasis:entry>  
         <oasis:entry colname="col5">1.7</oasis:entry>  
         <oasis:entry colname="col6">1127</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Rain</oasis:entry>  
         <oasis:entry colname="col2">0.99</oasis:entry>  
         <oasis:entry colname="col3">0.90</oasis:entry>  
         <oasis:entry colname="col4">0.70</oasis:entry>  
         <oasis:entry colname="col5">2.3</oasis:entry>  
         <oasis:entry colname="col6">903</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>59</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M47" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Snow</oasis:entry>  
         <oasis:entry colname="col2">0.94</oasis:entry>  
         <oasis:entry colname="col3">0.93</oasis:entry>  
         <oasis:entry colname="col4">0.70</oasis:entry>  
         <oasis:entry colname="col5">0.8</oasis:entry>  
         <oasis:entry colname="col6">224</oasis:entry>  
         <oasis:entry colname="col7">23</oasis:entry>  
         <oasis:entry colname="col8">9.3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Positive value indicates that the gauge is measuring less
precipitation than the geolysimeter.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Relationship between the bias in geolysimeter rainfall measurements
and total event rainfall amount as measured by the gauge at Duck Lake
(<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.51).</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f04.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Duck Lake geolysimeter event snowfall compared with gauge event
snowfall. Regression line for snow and the 1:1 line are also shown.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f05.pdf"/>

      </fig>

      <p>Given the propensity for precipitation gauges to underestimate snowfall, we
suspect that it is more likely that the precipitation gauge is
underestimating rather than that the geolysimeter overestimating snowfall.
Although Fig. 6 suggests that almost 65 % of the 30 min periods during
precipitation events have gauge height wind speeds less than
1.75 m s<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, wind speeds can exceed 3 m s<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on occasion. For
this reason, we chose to adjust the 30 min precipitation amounts for wind-induced errors using the transfer functions described by Kochendorfer et
al. (2017a, b), developed using a subset of the WMO-SPICE dataset. The
Kochendorfer (2017b) paper presents two transfer functions: a complex sigmoidal transfer
function originally presented by Wolff et al. (2015) and a simpler
exponential-arctan transfer function. The exponential-arctan coefficients
were later revised by Kochendorfer et al. (2017a) using data from eight more
SPICE sites representative of varying climatic conditions, making the
transfer function potentially more broadly applicable. For the sigmoidal
function, we use the coefficients presented in the earlier paper (which were
fitted to the data from Marshall, CO, USA) and the more recent and broadly
applicable coefficients for the exponential-arctan function. Of the 56 total
snowfall events, only 51 could be adjusted due to missing wind speed or
temperature. This explains the difference in the “unadjusted” statistics
shown in Tables 1 and 2. Each 30 min period within each event was adjusted
individually using the average wind speed and temperature during that 30 min
period. As before, the high-frequency data are then accumulated for each of
the snowfall events. As shown in Fig. 6, winds speeds were generally low such
that most adjustments are minor. This is reflected in Fig. 7 that shows the
unadjusted snowfall (blue dots), the sigmoidal adjustment (red squares), and
the exponential-arctan adjustment (black boxes) compared to the geolysimeter.
The larger adjustments are evident when the markers representing the adjusted
precipitation are shifted farther to the right in the figure. Larger
adjustments were common during precipitation events of a larger magnitude
(presumably, also of longer duration). The application of the two transfer
functions decreased the total bias of the gauge as compared to the
geolysimeter, with the sigmoidal and exponential-arctan functions reducing the bias
from 10.2 to 7.5 % and 3.1 % respectively. However, the RMSD was not
reduced very much by the adjustment, with only a slight decrease from 0.86 to
0.85 mm for the sigmoidal adjustment and an increase to 0.93 mm for the
exponential-arctan adjustment. These summary statistics for the adjusted
events are shown in Table 2.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Summary statistics for the comparison of the unadjusted and adjusted
(sigmoidal and exponential-arctan functions) gauge snowfall measurements with the
geolysimeter. Bias is the total gauge precipitation subtracted from (mm) or
divided by (%) the total geolysimeter precipitation. Note that the
adjustment was performed only on 51 of the 56 snowfall events due to some
missing meteorological data; hence, the  % bias is slightly different from that reported for all snowfall events in Table 1.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Adjustment</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">RMSD</oasis:entry>  
         <oasis:entry colname="col4">Bias<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">Bias<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(mm)</oasis:entry>  
         <oasis:entry colname="col4">(mm)</oasis:entry>  
         <oasis:entry colname="col5">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Unadjusted</oasis:entry>  
         <oasis:entry colname="col2">0.95</oasis:entry>  
         <oasis:entry colname="col3">0.86</oasis:entry>  
         <oasis:entry colname="col4">24</oasis:entry>  
         <oasis:entry colname="col5">10.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sigmoidal</oasis:entry>  
         <oasis:entry colname="col2">0.95</oasis:entry>  
         <oasis:entry colname="col3">0.85</oasis:entry>  
         <oasis:entry colname="col4">18</oasis:entry>  
         <oasis:entry colname="col5">7.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Exp arctan</oasis:entry>  
         <oasis:entry colname="col2">0.94</oasis:entry>  
         <oasis:entry colname="col3">0.93</oasis:entry>  
         <oasis:entry colname="col4">7</oasis:entry>  
         <oasis:entry colname="col5">3.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Positive value indicates that the gauge is measuring less
precipitation than the geolysimeter.</p></table-wrap-foot></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Discussion</title>
      <p>Detailed inspection of the moisture loading record provides a strong
indication that the net run-off out of the response area of the geolysimeter
occurred during some of the more intense rain events (e.g. Fig. 2a), which is
reflected by the increase in geolysimeter bias with increased rainfall (Fig. 4).
Since hydrological dynamics are complex, the occurrence of run-off is not
always directly correlated with increased rainfall amount.
Evapotranspiration, especially from the tree canopies, may have also
resulted in some moisture losses during the rain events, especially the
events of longer duration (which are often related to total rainfall
amount). Although we did not attempt to estimate evapotranspiration, we do
see instances where the relative humidity measured during some events
dropped below 100 %, indicating the potential for some
evapotranspiration.</p>
      <p>Some other considerations that have the potential to impact the timing and
magnitude of the geolysimeter precipitation estimates as shown in Fig. 2 are
the temporal resolution of the geolysimeter observations and the data
filtering process. The effect of observation resolution is possible because
the response of the geolysimeter to rainfall loading is nearly instantaneous, meaning that the minimum or the peak water level in the well may have been
missed by the water-level readings that were taken once every 30 min. This
may result in an underestimate of precipitation. This effect would only be
significant if water losses from the geolysimeter response area by run-off or
evapotranspiration were significant during the 30 min before the beginning
or after the end of the precipitation event. Considering the low relief of
the study area, run-off is slow (cf. Fig. 2a) and the error due to the
sampling interval is likely to be much smaller than 1 mm. The impact of the
data filtering process may be more substantial in summer. The Savitzky–Golay
filter de-spikes and smooths the data, which tend to have some inherent noise
(cf. Fig. 2). When precipitation is intense, as in Fig. 2a, the filter tends
to underestimate the well response, and this could explain some of the bias in the
geolysimeter during more intense convective events. As Pan et al. (2016)
suggest for precipitation data, the filtering technique has the potential to
impact results, and this can also be said for the geolysimeter. More work is
needed on this topic for processing data from both sources.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Thirty-minute average wind speed at gauge height frequency distribution
during precipitation events at the Duck Lake geolysimeter site.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f06.pdf"/>

      </fig>

      <p>The rainfall intercomparison also does not account for the spatial scaling of
precipitation, especially convective precipitation, when comparing the point
gauge measurement to the more spatially distributed geolysimeter measurement.
Highly localized rainfall, which is a characteristic of summer convection, may
not be uniform across the geolysimeter response area, perhaps resulting in
the geolysimeter under-reporting precipitation as compared to the gauge.
Studies such as De Michele et al. (2001) suggest the use of an areal
reduction factor (ARF) to scale point measurements to spatial estimates, and a
rough approximation for an ARF of 95 % would more closely align the gauge
and the geolysimeter and could explain much of the bias. However, ARFs for
the general location and climatology of this field site are not well-known or
understood. This is complicated further by the geolysimeter measurement
principle, where the response of the geolysimeter, located in the centre of
the response area, has reduced sensitivity to load changes per unit area with
distance from the centre.</p>
      <p>If we make the assumption that the underestimation of rainfall by the
geolysimeter is a result of evapotranspiration and run-off during a rainfall
event and that these processes are negligible during snowfall events, then
there is potential for using geolysimeter measurements of snowfall as an
independent reference for the measurement of solid precipitation. However,
the landscape and surface characteristics of the geolysimeter response area
must also be considered such that wind redistribution and sublimation are
minimized (i.e. the area has snow catchment and retention properties, such
as vegetation cover, and reduced environmental exposure to wind). If these
criteria are met, then, in theory, this would allow for an independent
measure of solid precipitation for developing and validating transfer
functions used to adjust the undercatch of the gauge measurement of snowfall.</p>
      <p>The application of the two transfer functions presented by Kochendorfer et
al. (2017a, b) both result in an improvement in the total bias of the gauge
measurements as compared to the geolysimeter with the simpler
exponential-arctan function representing the greatest improvement in the
bias. However, neither transfer function improves the RMSD, which is
consistent with what Kochendorfer et al. (2017a) showed with testing on the
SPICE data. Because of the low wind speeds at the Duck Lake site, as
represented in Fig. 6, this really is not a robust test of these transfer
functions, as the total adjustment is very small. It is proposed that a
supplementary intercomparison site be installed outside of the sheltered area
within which the precipitation gauge is currently installed but still well
within the 1 km footprint radius of the geolysimeter. Gauges outside of the
sheltered area would be exposed to more typical windy conditions found during
snowfall on the Canadian Prairies. With wind speeds during precipitation
averaging close to 5 m s<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and often exceeding 10 m s<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the
transfer functions derived from WMO-SPICE could be more thoroughly tested
against the independent geolysimeter measurements. Further work is also
required to determine the minimum temporal resolution of the geolysimeter,
especially during (light) snowfall events.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Precipitation event intercomparison with gauge precipitation
unadjusted and adjusted for wind undercatch using a sigmoidal and an
exponential-arctan transfer function as presented in Kochendorfer et
al. (2017a, b).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5263/2017/hess-21-5263-2017-f07.pdf"/>

      </fig>

      <p>Both methods of measuring precipitation, whether via conventional gauges or
via a geolysimeter, have their limitations. The wind bias in the gauge
measurement of snowfall is well documented. Gauge measurements can also be
fraught with other issues such as capping (the plugging of the orifice with
accumulating snow), poor or infrequent maintenance (resulting in
overflowing, bucket freezing, etc.), and mechanical failure. The gauge
measurement is also just a point measurement and may or may not be spatially
representative. Although the geolysimeter does not suffer from many of the
same issues as the gauge measurement and is more of a spatial estimate of
precipitation, it also has its limitations. The technique cannot be used
everywhere due to geologic requirements (i.e. the aquifer needs to be
confined and not impacted by human activity). Also, cumulative time series
of precipitation are more difficult to produce with a geolysimeter since the
long-term record can be impacted by slow groundwater storage changes (e.g.
seepage, ponding, and pumping) which are more difficult to compensate for. In
winter, the response area of the geolysimeter cannot be a region of
localized accumulation (i.e. from drifting snow) or scouring, so
redistribution in the response area needs to be a random process. For deep
observation wells with response areas of several square kilometres, the redistribution of
snow within the response area can be assumed to be a random process as long
as the landscape is relatively homogenous. However, the sublimation of
blowing snow at exposed sites, even if the redistribution of snow is random,
could result in underestimates of snowfall during longer events. Given the
limitations of both techniques, the geolysimeter could certainly help
complement and improve conventional precipitation measurements where
geological and landscape conditions are favourable for their co-location.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p>This study shows that it is possible to make an accurate estimate of event-based precipitation using a deep-well geolysimeter. Although the
geolysimeter underestimates rainfall by 7 % and appears to overestimate
(unadjusted) snowfall by 9 %, the correlations are high, with an <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
of 0.99 and 0.94 for rain and snow respectively. The underestimation of
rainfall, especially for larger events, can be linked to the net loss of
water from the geolysimeter response area during the events. The exact
mechanisms associated with this net loss have not been documented here, but
they are likely related to both run-off and evapotranspiration and would
necessitate the installation of additional instrumentation to be more
accurately quantified. However, assuming that run-off and
evapotranspiration/sublimation of snow on the ground are negligible during
winter snowfall events and that the net wind redistribution of snow out of the
response area is minimal, the accuracy of the geolysimeter should be high
for measuring snowfall at this location. At least some of the apparent
overestimation of snowfall by the geolysimeter is likely due to the
undercatch of snowfall by the precipitation gauge. Although wind speeds in
the sheltered area are relatively low and therefore the bias adjustments are
small, the applied bias adjustments result in a reduction in the difference
between the geolysimeter and the gauge from 9  to 3 %. Based on these
results, the geolysimeter can be used as an accurate independent reference
measurement of solid precipitation and as a complement to conventional
techniques for long-term precipitation monitoring.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>The event-based data used in this analysis are available on
the Government of Canada Open Data Portal
(<uri>http://open.canada.ca/en/open-data</uri>). The water level and precipitation
time series are available from the corresponding author via email request.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><notes notes-type="sistatement">

      <p>This article is part of the special issue “The World
Meteorological Organization Solid Precipitation InterComparison Experiment
(WMO-SPICE) and its applications (AMT/ESSD/HESS/TC inter-journal SI)”. It is
not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p>The authors would like to thank the Saskatchewan Water Security Agency for
their continued collaboration and access to the observation well located
near Duck Lake, SK. We would also like to express our gratitude to the
reviewers, who have provided their time to help us improve this paper.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Mareile Wolff <?xmltex \hack{\newline}?>
Reviewed by:  Earl Bardsley and one anonymous referee</p></ack><ref-list>
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    </app></app-group></back>
    <!--<article-title-html>Measuring precipitation with a geolysimeter</article-title-html>
<abstract-html><p class="p">Using the relationship between measured groundwater pressures in deep
observation wells and total surface loading, a geological weighing lysimeter
(geolysimeter) has the capability of measuring precipitation event totals
independently of conventional precipitation gauge observations. Correlations
between groundwater pressure change and event precipitation were observed at
a co-located site near Duck Lake, SK, over a multi-year and multi-season
period. Correlation coefficients (<i>r</i><sup>2</sup>) varied from 0.99 for rainfall to
0.94 for snowfall. The geolysimeter was shown to underestimate rainfall by
7 % while overestimating snowfall by 9 % as compared to the
unadjusted gauge precipitation. It is speculated that the underestimation of
rainfall is due to unmeasured run-off and evapotranspiration within the
response area of the geolysimeter during larger rainfall events, while the
overestimation of snow is at least partially due to the systematic undercatch
common to most precipitation gauges due to wind. Using recently developed
transfer functions from the World Meteorological Organization's (WMO) Solid
Precipitation Intercomparison Experiment (SPICE), bias adjustments were
applied to the Alter-shielded, Geonor T-200B precipitation gauge measurements
of snowfall to mitigate wind-induced errors. The bias between the gauge and
geolysimeter measurements was reduced to 3 %. This suggests that the
geolysimeter is capable of accurately measuring solid precipitation and can
be used as an independent and representative reference of true precipitation.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Anochikwa, C. I., van der Kamp, G., and Barbour, L. S.: Interpreting
pore-water pressure changes induced by water table fluctuations and
mechanical loading due to soil moisture changes, Can. Geotech. J., 49,
357–366, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Bardsley, W. E. and Campbell, D. I.: A new method for measuring near-surface
moisture budgets in hydrological systems, J. Hydrol., 154, 245–254, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Bardsley, W. E. and Campbell, D. I.: An expression for land surface water
storage monitoring using a two-formation geological weighing lysimeter, J.
Hydrol., 335, 240–246, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Barnett, T. P., Adam, J. C., and Lettenmaier, D. P.: Potential impacts of a
warming climate on water availability in snow dominated regions, Nature, 438,
303–309, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Barr, A. G., van der Kamp, G., Schmidt, R., and Black, T. A.: Monitoring the
moisture balance of a boreal aspen forest using a deep groundwater
piezometer, Agr. Forest Meteorol., 102, 13–24, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
De Michele, C., Nathabandu, T. K., and R. Renzo: The derivation of areal
reduction factor of storm rainfall from its scaling properties, Water Resour.
Res., 37, 3247–3252, 2001.
</mixed-citation></ref-html>
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</mixed-citation></ref-html>
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Poikonen, A.: Analysis of single-Alter-shielded and unshielded measurements
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