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'''Sea ice concentration''' is a useful variable for [[climatology|climate]]
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scientists and nautical [[navigators]]. It is defined as the area of
[[sea ice]] relative to the total at a given point in the [[ocean]].
This article will deal primarily with its determination from [[remote sensing]] measurements.
 
==Significance==
 
Sea ice concentration helps determine a number of other important climate
variables. Since the [[albedo]] of ice is much higher than that of water,
ice concentration will regulate [[insolation]] in the polar oceans.
When combined with [[sea ice thickness|ice thickness]], it determines
several other important [[flux]]es between the air and sea,
such as salt and fresh-water fluxes between the polar oceans
(see for instance [[bottom water]]) as well as
[[heat flux|heat transfer]] between the atmosphere.
Maps of sea ice concentration can be used to determine
[[Measurement of sea ice#ice area|ice area]] and
[[Measurement of sea ice#ice extent|ice extent]], both of which are important
markers of [[climate change]].
 
Ice concentration charts are also used by navigators to determine
potentially passable regions—see [[icebreaker]].
 
==Methods==
 
===In situ===
 
Measurements from ships and aircraft are based on simply calculating
the relative area of ice versus water visible within the scene.
This can be done using photographs or by eye.
In situ measurements are used to validate remote sensing
measurements.
 
===SAR interferometry and visible===
 
Both [[synthetic aperture radar]] and visible sensors (such as [[Landsat]])
are normally high enough resolution that each pixel is simply classified
as a distinct surface type, i.e. water versus ice.  The concentration can then be
determined by counting the number of ice pixels in a given area which
is useful for validating concentration estimates from lower resolution
instruments such as microwave radiometersSince SAR images are normally
monochrome and the [[backscatter]] of ice can vary quite considerably,
classification is normally done based on texture using groups of
pixels—see [[pattern recognition]].
 
Visible sensors have the disadvantage of being quite weather sensitive—images are obscured by clouds—while SAR sensors, especially in the
higher resolution modes, have a limited coverage and must be pointed.
This is why the tool of choice for determining ice concentration is
often a passive microwave sensor.
<ref name="Ulaby_etal1986">
{{cite book
| title=Microwave Remote Sensing, Active and Passive
| editors=F. T. Ulaby, R. K. Moore and A. K. Fung
| year=1986
| publisher=Addison Wesley
| location=London, England}}
</ref>
<ref name="Tucker_etal1992">
{{cite book
| title=Microwave Remote Sensing of Sea Ice
| editors=W. B. Tucker, D. K. Prerovich, A. J. Gow, W. F. Weeks, M. R. Drinkwater
| publisher=American Geophysical Union}}
</ref>
 
===Microwave radiometry===
 
All warm bodies emit electro-magnetic radiation: see [[thermal radiation]].
Since different objects will emit differently at different frequencies,
we can often determine what type of object we are looking at based on its emitted
radiation—see [[spectroscopy]].  This principle underlies all ''passive''
microwave sensors and most passive infrared sensors.  Passive is used in the
sense that the sensor only measures radiation that has been emitted by other
objects but does not emit any of its own.
(A SAR sensor, by contrast, is ''active''.) [[SSMR]] and [[SSMI]] radiometers were flown on the [[Nimbus program]] and [[Defense Meteorological Satellite Program|DMSP]] series of satellites.
 
Because clouds are translucent in the microwave regime, especially
at lower frequencies, microwave radiometers are quite weather insensitive.
Since most microwave radiometers operate along a [[polar orbit]] with
a broad, sweeping scan, full ice maps of the polar regions where
the swaths are largely overlapping can usually be obtained within one day.
This frequency and reliability comes at the cost of a poor resolution:
the angular [[field of view]] of an [[Antenna (radio)|antenna]] is directly
[[proportionality (mathematics)|proportional]] to the [[wavelength]]
and inversely proportional to the effective [[aperture]] area.
Thus we need a large deflector dish to compensate for a low frequency
.<ref name="Ulaby_etal1986"/>
 
Most ice concentration algorithms based on microwave radiometry
are predicated on the dual observation that: 1. different surface types
have different, strongly clustered, microwave signatures and
2. the radiometric signature at the instrument head is a linear
combination of that of the different surface types, with the weights
taking on the values of the relative concentrations.
If we form a vector space from each of the instrument channels
in which all but one of the signatures of the different surface types
are linearly independent, then it is straightforward to solve for
the relative concentrations:
 
:<math>
\vec T_b = \vec T_{b0} + \sum_{i=1}^n(\vec T_{bi} - \vec T_{b0})C_i
</math>
 
where <math>\vec T_b</math> is the radiometric signature at the
instrument head (normally measured as a [[brightness temperature]]),
<math>\vec T_{b0}</math> is the signature of the nominal
background surface type (normally water),
<math>\vec T_{bi}</math> is the signature of the ''i''th
surface type while ''C<sub>i</sub>'' are the relative
concentrations.
<ref name="Rothrock_etal1988">
{{cite journal
| author=D. A. Rothrock, D. R. Thomas and A. S. Thorndike, AS
| year=1988
| journal=Journal of Geophysical Research
| title=Principal Component Analysis of Satellite Passive Microwave Data Over Sea Ice
| volume=93
| number=C3
| pages=2321–2332
|bibcode = 1988JGR....93.2321R |doi = 10.1029/JC093iC03p02321 }}</ref>
<ref name="smos_final">
{{cite techreport
  | author = G. Heygster, S. Hendricks, L. Kaleschke, N. Maass, P. Mills, D. Stammer, R. T. Tonboe and C. Haas
  | title=L-Band Radiometry for Sea-Ice Applications
| institution=Institute of Environmental Physics, University of Bremen
| year=2009
| number=ESA/ESTEC Contract N. 21130/08/NL/EL
}}</ref>
<ref name="Mills_Heygster2010">
{{cite journal
| author=P. Mills and G. Heygster
| year=2010
| journal=IEEE Transactions on Geoscience and Remote Sensing
| title=Retrieving sea ice concentration from SMOS
| number=2
| volume=8
| pages=283–287
| DOI = 10.1109/LGRS.2010.2064157
| url=http://peteysoft.users.sourceforge.net/smos_concentration_ieee.pdf
}}</ref>
 
Every operational ice concentration algorithm is predicated on this
principle or a slight variation.
The NASA team algorithm, for instance, works by taking the
difference of two channels and dividing by their sum.
This makes the retrieval slightly [[nonlinear]], but with
the advantage that the influence of temperature is mitigated.
This is because brightness temperature varies roughly linearly
with physical temperature when all other things are equal—see [[emissivity]]—and because the sea ice emissivity at different microwave
channels is strongly correlated.<ref name="Rothrock_etal1988"/>
As the equation suggests, concentrations of multiple ice
types can potentially be detected, with NASA team distinquishing between
first-year and multi-year ice.
<ref name="Comiso_etal1997">
{{cite journal
| author=J. C. Comiso, D. J. Cavalieri, C. L. Parkinson and P. Gloersen, P
| year=1997
| journal=Remote Sensing of the Environment
| title=Passive microwave algorithms for sea ice concentration: A comparison of two techniques
| volume=60
| pages=357–384
}}</ref>
<ref name="Markus_Cavalieri2000">
{{cite journal
| author=T. Markus and D. J. Cavalieri
| title=An Enhancement of the NASA Team Sea Ice Algorithm
| journal=IEEE Transactions on Geoscience and Remote Sensing
| volume=38
| number=3
| pages=1387–1398
| year=2000
|bibcode = 2000ITGRS..38.1387M |doi = 10.1109/36.843033 }}</ref>
 
Accuracies of sea ice concentration derived from passive microwave sensors may be expected to be on the order of 5\% (absolute).
<ref name="Comiso_etal1997"/>
<ref name="Andersen_etal2006">
{{cite journal
| author=S. Andersen, R. T. Tonboe, S. Kern and H. Schyberg
| year=2006
| journal=Remote Sensing of the Environment
| title=Improved retrieval of sea ice total concentration from spaceborne passive microwave observations using numerical weather prediction model fields: An intercomparison of nine algorithms
| volume=104
| pages=374–392
}}</ref>
<ref name="Heygster_etal2009">
{{cite journal
| author=G. Heygster, H. Wiebe, G. Spreen and L. Kaleschke
| year=2009
| journal=Journal of the Remote Sensing Society of Japan
| volume=29
| number=1
| pages=226–235.
| title=AMSR-E Geolocation and Validation of Sea Ice Concentrations Based on 89 GHz data
}}</ref>
A number of factors act to reduce the accuracy of the retrievals, the most obvious being variations in the microwave signatures produced by a given surface type.
For sea ice, the presence of snow, variations in salt and moisture content, the presence of melt ponds as well as variations in surface temperature will all produce strong variations in the microwave signature of a given ice typeNew and thin ice in particular will often have a microwave signature closer to that of open water.  This is normally because of its high salt content, not because of radiation being transmitted from the water through the ice—see [[sea ice emissivity modelling]].
The presence of waves and surface roughness will change the signature over open waterAdverse weather conditions, [[clouds]] and [[humidity]] in particular, will also tend to reduce the accuracy of retrievals.<ref name="smos_final"/>
 
==References==
{{Reflist|30em}}
 
==External links==
* [http://www.iup.uni-bremen.de/iuppage/psa/2001/amsrop.html High-resolution sea ice concentration charts] derived from [[AMSR|AMSR-E]] 89&nbsp;GHz channel
* [http://www.arctic.io/satellite The Arctic ice sheet] True color satellite map with daily updates.
 
{{DEFAULTSORT:Sea Ice Concentration}}
[[Category:Sea ice]]
[[Category:Climate]]
[[Category:Remote sensing]]
[[Category:Radiometry]]
[[Category:Climate change science]]

Latest revision as of 23:16, 26 February 2014

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