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Measurement and Data Analysis

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Title: Measurement and Data Analysis


1
Measurement and Data Analysis
  • Snowfall is the depth of fresh snow which falls
    during a given recent period.
  • Snowfall measurements are summed to determine the
    total for any time period a single storm, a day,
    a month or a year.
  • Total precipitation is the sum of the vertical
    depth of all liquid precipitation and of the
    water equivalent (depth) of all forms of solid
    precipitation, including snowfall.

2
  • Proper utilization of snowfall data depends on
    the users requirements, assuming that the user
    understands how the data were obtained, realizes
    the problems of measuring and processing the data
    and is aware that errors may exist in the data.

3
Point snowfall measurements
  • A graduated ruler inserted vertically into the
    snow is the most direct method for measuring the
    depth of freshly-fallen snow.
  • Where the snow has not drifted the mean depth of
    snowfall is determined from measurements made at
    several points.

4
  • To ensure that old snow is not sampled, the
    measurement is made on a patch or a snow board
    whose surface has been kept free of snow before
    the snowfall.
  • A snow board is a piece of plywood or lightweight
    metal at least 40 cm by 40 cm, painted white or
    covered with white flannel which provides a
    reference level for measurement.

5
  • To obtain a representative mean depth of new
    snow under drifting conditions requires careful
    judgement by the observer.
  • A large number of measurements must be taken in
    both drifted and exposed areas.
  • The water equivalent of fresh snowfall from ruler
    measurements may be estimated by using an
    approximate relation between depth and swe.

6
  • Commonly, the average density of newly-fallen
    snow is accepted as 100 kg m-3 that is 1 cm of
    snow is taken 1 mm swe.
  • In Canada, Environment Canada uses this method to
    estimate swe for more than 85 of the observing
    stations.
  • In reality, the density of newly-fallen snow
    varies with region, with individual storm events
    and often throughout the duration of a storm.

7
Snow Gauges
  • Snow gauges measure snowfall water equivalent
    directly.
  • Essentially, any open cylinder in which snow can
    accumulate and be measured can serve as a snow
    gauge.
  • The cylinder is generally shielded to reduce wind
    turbulence around the orifice and is mounted far
    enough above the snow surface to minimize the
    accumulation of blowing snow in the gauge.

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  • One of the biggest challenges in monitoring cold
    climates is measuring frozen precipitation with
    snow gauges.
  • In high wind conditions, precipitation gauges
    disrupt the boundary layer atmospheric flow,
    causing frozen precipitation to preferentially
    blow over and around, rather than into, the
    gauge.
  • Liquid precipitation is less susceptible to this
    undercatch problem because it is denser and has a
    faster falling velocity.

10
Source Gray and Male (1981)
11
  • Estimates of snowfall undercatch for some types
    of gauges are as high as 70 or more.
  • Because many northern regions have below-freezing
    surface air temperatures for 910 months of the
    year, a large percentage of annual precipitation
    is frozen.
  • However, because the undercatch problem is so
    severe, it is difficult to estimate the total
    amount, let alone the percentage of precipitation
    that falls in each phase or in which season.

12
  • In addition to undercatch caused by disrupting
    the wind flow near the gauge, other systematic
    errors in measuring solid precipitation include
    evaporation/sublimation, wetting losses from
    water sticking inside the gauge, blowing snow,
    the tendency of observers to ignore trace events,
    and gauge location which is unrepresentative of
    the catchment.
  • All of these systematic biases lead to
    underestimation of precipitation, with the
    exception of biases associated with measurements
    in areas of blowing snow deposition.

13
Mechanical failure of unattended precipitation
gauge
WMO SPIR, 1998
14
Impact of a heavy snowpack
Winter 2006/07
15
Impact of strong winds (gt40 m/s)
Winter 2006/07
16
Bear Mauling
Cherry, June 2006
17
Impact of a bear attack
Spring 2007
18
  • In Canada, the Nipher shielded snow gauge is
    designated as the official Canadian instrument
    for measuring snowfall water equivalent.
  • It has the shape of an inverted bell and is
    usually constructed of aluminum or fiberglass.
  • Wind tunnel tests by NRC indicated that this
    shield design is effective in minimizing
    disturbances to the airflow over the gauge
    orifice.

19
Source Gray and Male (1981)
20
Weighting-type precipitation gauges
  • Weighting-type precipitation gauges measure all
    forms of precipitation.
  • They use the principle of a simple spring
    balance.
  • Precipitation is collected in a catch bucket
    mounted on a spring, which becomes compressed and
    activates a recording mechanism.

21
  • The capacities of weighting-type gauges range
    from 300 to 600 mm swe.
  • Some can operate unattended for up to one year
    their time resolution capabilities can vary from
    5 min. to several hours.
  • In snowy climates, long-duration gauges require
    an antifreeze charge to prevent freezing of
    precipitation in the collector.

22
Source Gray and Male (1981)
23
Source Gray and Male (1981)
24
Reconstructing snowfall from snow depth
measurements
25
SR50
26
Comparison of point snowfall measurement
techniques
  • The ruler provides a measurement of snow depth
    from which the snowfall water equivalent can be
    estimated, whereas a snow gauge provides a
    measurement of snowfall water equivalent from
    which the depth can be estimated.
  • The causes of errors in these point measurements
    and estimates are known.

27
  • However, the magnitudes of the errors or the
    differences between measured and true catches
    are not well known, largely because of the
    difficulty in determining true snowfall.

28
Source Gray and Male (1981)
29
Source Gray and Male (1981)
30
Statistical Correction Factor
January
Yang et al., 2005
31
Source Gray and Male (1981)
32
Source Gray and Male (1981)
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Snowfall measurement with radar
  • Weather radar (radio detection and ranging) is
    another very useful remote sensing tool used in
    meteorological forecasting.
  • Microwave radar was developed in early World War
    II to aid in spotting distant ships and
    airplanes. It was noticed early on that during
    adverse weather conditions widespread
    interference often appeared on the radar screen
    and obscured the military objects of interest.
  • A large body of theoretical and experimental work
    in the 1940s showed that this weather clutter
    arose from the scattering of radar waves by
    precipitation.

37
  • These early findings have been refined and
    elaborated to the point that most of the
    measurable properties of radar signals -
    amplitude, phase, polarization, and frequency -
    can be interpreted in terms of the sizes, shapes,
    motions or thermodynamic phase of the
    precipitation particles.
  • Because of their ability to observe and measure
    precipitation quickly, accurately, and from great
    distances, radars have become essential in
    weather observation and forecasting.

38
  • Heavier precipitation reflects more microwave
    energy back to a radar than lighter snow.
    However, more distant snow also gives a weaker
    return signal. A range-corrected and
    equipment-calibrated measure of reflectivity from
    rain is given by
  • log(Z) log(received power) 2 log(range)
    constant
  • where Z is the radar reflectivity factor. Because
    Z has such a wide range of values, the
    reflectivity is usually expressed as decibels dB
    of Z.

39
  • dBZ 10 log(Z)
  • Larger and more numerous drops or snowflakes
    reflect more radar energy
  • Z SD6/ V
  • where D is (melted) drop diameter, V is volume of
    air holding the drops, and the sum is over all
    precipitation within that volume.

40
  • But the number and diameter of drops also
    determines the precipitation rate.
  • When the above three equations are combined and
    empirically tuned to the observations, the result
    is a formula for converting radar echo intensity
    in dBZ to rainfall rate R
  • R cR100.0625dBZ
    Eqn 1
  • where cR 0.036 mm h-1 .
  • Six discrete levels of radar echo intensity are
    often used, corresponding to descriptive rainfall
    categories.

41
Figure 8-12 Rainfall intensity chart (Stull 2000)
42
  • Owing to their particular shapes, snowflakes
    produce echoes of different intensity than
    raindrops of the same size.
  • The snowfall rate S is therefore often inferred
    from the radar reflectivity factor from
  • S cS100.05dBZ
  • where cS 0.018 cm h-1 .
  • This relationship assumes that 1 cm of melted
    snow equates 1 mm of water, i.e. that the falling
    snow has a density of 100 kg m-3 .

43
Source Gray and Male (1981)
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Point measurements of snow depth
  • Most simply, depth measurements of snow (snow
    accumulated on the ground) are made with a snow
    ruler or similar graduated rod which is pushed
    through the snow to the ground surface.
  • Representative measurements by this method may be
    difficult to obtain in open areas since the
    snowcover undergoes drifting and may have
    embedded ice layers that limit penetration with a
    ruler.

53
Measurements of snow depth
  • At each observing station a number of
    measurements are made and averaged.
  • In remote regions, graduated snow stakes or
    aerial markers may be used.
  • The snow depth at the stake or marker is observed
    from a distant point through binoculars or
    telescopes.
  • However, rulers, stakes and aerial markers do not
    provide swe information.

54
Snow depth measurement
Device doesnt disrupt the measured quantity as
much as a gauge does
Source J. Cherry
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