<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.the-cryosphere-discuss.net/inc/tcd/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>The Cryosphere Discussions</journal_title>
		<journal_url>www.the-cryosphere-discuss.net</journal_url>
		<issn>1994-0432</issn>
		<eissn>1994-0440</eissn>
		<volume_number>3</volume_number>
		<issue_number>2</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/tcd-3-513-2009</doi>
	<article_url>http://www.the-cryosphere-discuss.net/3/513/2009/</article_url>
	<abstract_html>http://www.the-cryosphere-discuss.net/3/513/2009/tcd-3-513-2009.html</abstract_html>
	<fulltext_pdf>http://www.the-cryosphere-discuss.net/3/513/2009/tcd-3-513-2009.pdf</fulltext_pdf>
	<start_page>513</start_page>
	<end_page>559</end_page>
	<publication_date>2009-07-21</publication_date>
	<article_title content_type="html">Simulation of the satellite radar altimeter sea ice thickness  retrieval uncertainty</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>R. T. Tonboe</name>
			<email>rtt@dmi.dk</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>L. T. Pedersen</name>
		</author>
		<author numeration="3" affiliations="2">
			<name>C. Haas</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Danish Meteorological Institute, Lyngbyvej 100, 2100 Copenhagen Ø, Denmark</affiliation>
		<affiliation numeration="2" content_type="html">University of Alberta, Edmonton, Alberta, Canada</affiliation>
	</affiliations>
	<abstract content_type="html">Although it is well known that radar waves penetrate into snow and sea
      ice, the exact mechanisms for radar-altimeter scattering and its link
      to the depth of the effective scattering surface from sea ice are
      still unknown. Previously proposed mechanisms linked the snow ice
      interface, i.e. the dominating scattering horizon, directly with the
      depth of the effective scattering surface. However, simulations using
      a multilayer radar scattering model show that the effective scattering
      surface is affected by snow-cover and ice properties. With the coming
      Cryosat-2 (planned launch 2009) satellite radar altimeter it is
      proposed that sea ice thickness can be derived by measuring its
      freeboard. In this study we evaluate the radar altimeter sea ice
      thickness retrieval uncertainty in terms of floe buoyancy, radar
      penetration and ice type distribution using both a scattering model
      and &apos;&apos;Archimedes&apos; principle&apos;&apos;. The effect of the snow cover on the
      floe buoyancy and the radar penetration and on the ice cover spatial
      and temporal variability is assessed from field campaign measurements
      in the Arctic and Antarctic. In addition to these well known
      uncertainties we use high resolution RADARSAT SAR data to simulate
      errors due to the variability of the effective scattering surface as
      a result of the sub-footprint spatial backscatter and elevation
      distribution sometimes called preferential sampling. In particular in
      areas where ridges represent a significant part of the ice volume
      (e.g. the Lincoln Sea) the simulated altimeter thickness estimate is
      lower than the real average footprint thickness. This means that the
      errors are large, yet manageable if the relevant quantities are known
      a priori. A discussion of the radar altimeter ice thickness
      retrieval uncertainties concludes the paper.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Archimedes. On floating bodies I, in: The Works of Archimedes, edited by: Heath,~T L., Dover publications, Inc., New York, 1897. </reference>
		<reference numeration="2" content_type="text"> Beaven,~S G., Lockhart,~G L., Gogineni,~S P., Hosseinmostafa,~A R., Jezek,~K., Gow,~A J., Perovich,~D K., Fung,~A K., and Tjuatja,~S.: Laboratory measurements of radar backscatter from bare and snow-covered saline ice sheets, Int. J. Remote Sens., 16, 851–876, 1995. </reference>
		<reference numeration="3" content_type="text"> Cox,~G F N. and Weeks,~W F.: Equations for detirmining the gas and brine volumes in sea ice samples, J. Glaciol., 29, 306–316, 1983. </reference>
		<reference numeration="4" content_type="text"> Davis,~C.: A robust threshold retracking algorithm for measuring ice sheet surface elevation change from satellite radar altimeters, IEEE Trans. Geosci. Remote Sens., 35, 974–979, 1997. </reference>
		<reference numeration="5" content_type="text"> Dierking,~W., Carlström,~A., and Ulander,~L M H.: The effect of inhomogeneous roughness on radar backscattering from slightly deformed sea ice, IEEE T. Geosci. Remote, 35, 147–159, 1997. </reference>
		<reference numeration="6" content_type="text"> Doronin,~Y P. and Kheisin,~D E.: Sea Ice, Amerind Publ. Co. Pvt. Ltd., New Delhi, 1977. </reference>
		<reference numeration="7" content_type="text"> Fetterer,~F M., Drinkwater,~M R., Jezek,~K C., Laxon,~S W C., Onstott,~R G., and Ulander,~L M H.: Sea ice altimetry, in: Microwave Remote Sensing of Sea Ice, Geophysical Monograph 68, edited by: Carsey,~F D., American Geophysical Union, Washington DC, pp 111–135, 1992. </reference>
		<reference numeration="8" content_type="text"> Frolov,~I E., Gudkovich,~Z M., Radionov,~V F., Shirochkov,~A V., and Timokhov,~L A.: The Arctic Basin – Results from the Russian Drifting Stations, Springer Praxis Books, 2006. </reference>
		<reference numeration="9" content_type="text"> Giles,~K A., Laxon,~S W., Wingham,~D J., Wallis,~D W., Krabill,~W B., Leuschen,~C J., McAdoo,~D., Manizade,~S S., and Raney,~R K.: Combined airborne laser and radar altimeter measurements over the Fram Strait in May 2002, Remote Sens. Environ., 111, 182–194, 2007. </reference>
		<reference numeration="10" content_type="text"> Gill,~R S., Tonboe,~R T.: Classification of GreenICE SAR data using fuzzy screening method. Arctic Sea Ice Thickness: Past, Present and Future, edited by: Wadhams and Amanatidis, Climate Change and Natural Hazards Series 10, EUR 22416, 2006. </reference>
		<reference numeration="11" content_type="text"> Haas,~C.: Dynamics versus thermodynamics: The sea ice thickness distribution, in: Sea Ice, edited by: Thomas,~D N. and Dieckmann,~G S., Blackwell, 2003. </reference>
		<reference numeration="12" content_type="text"> Haas,~C., Goebell,~S., Hendricks,~S., Martin,~T., Pfaffling,~A., and von Saldern,~C.: Airborne electromagnetic measurements of sea ice thickness: Methods and applications. Arctic Sea Ice Thickness: Past, Present and Future, edited by: Wadhams and Amanatidis, Climate Change and Natural Hazards Series 10, EUR 22416, 2006a. </reference>
		<reference numeration="13" content_type="text"> Haas,~C., Nicolaus,~M., Willmes,~S., Worby,~A., and Flinspach,~D.: Sea ice and snow thickness and physical properties of an ice floe in the western Weddell Sea and their changes during spring warming, Deep-Sea Res. Pt. II, 55, 963–974, doi:10.1016/j.dsr2.2007.12.020, 2008. </reference>
		<reference numeration="14" content_type="text"> Haas,~C., Hendricks,~S., and Doble,~M.: Comparison of the sea ice thickness distribution in the Lincoln Sea and adjacent Arctic Ocean in 2004 and 2005, Ann. Glaciol., 44, 247–252, 2006b. </reference>
		<reference numeration="15" content_type="text"> Kwok,~R. and Cunningham,~G F.: ICESat over Arctic sea ice: Estimation of snow depth and ice thickness, J. Geophys, Res., 113, C08010, doi:10.1029/2008JC004753, 2008. </reference>
		<reference numeration="16" content_type="text"> Kwok,~R., Cunningham,~G F., Zwally,~H J., and Yi,~D.: ICEsat over Arctic sea ice: Interpretation of altimetric and reflectivity profiles, J. Geophys. Res., 111, C06006, doi:10.1029/2005JC003175, 2006. </reference>
		<reference numeration="17" content_type="text"> Laxon,~S., Peacock,~N., and Smith,~D.: High interannual variability of sea ice thickness in the Arctic region, Nature, 425, 947–949, 2003. </reference>
		<reference numeration="18" content_type="text"> Mätzler,~C.: Improved Born approximation for scattering of radiation in a~granular medium, J Appl. Phys., 83, 6111–6117, 1998. </reference>
		<reference numeration="19" content_type="text"> Mätzler,~C. and Wiesmann,~A.: Extension of the microwave emission model of layered snowpacks to coarse grained snow, Remote Sens. Environ., 70, 317–325, 1999. </reference>
		<reference numeration="20" content_type="text"> Mätzler,~C., Rosenkranz,~P W., Battaglia,~A., and Wigneron,~J P.: Thermal Microwave Radiation – Applications for Remote Sensing, IET Electromagnetic Waves Series 52, London, UK, 2006. </reference>
		<reference numeration="21" content_type="text"> McLaren,~A S., Walsh,~J E., Bourke,~R H., Weaver,~R L., and Wittmann,~W.: Variability in the sea-ice thickness over the North Pole from 1977 to 1990, Nature, 358, 224–226, 1992. </reference>
		<reference numeration="22" content_type="text"> National Snow and Ice Data Center. Morphometric characteristics of ice and snow in the Arctic Basin: aircraft landing observations from the Former Soviet Union, 1928–1989. Compiled by Romanov,~I P., Boulder, CO: National Snow and Ice Data Center. Digital media, 2004. </reference>
		<reference numeration="23" content_type="text"> Onstott,~R G.: SAR and scatterometer signatures of sea ice, in: Microwave Remote Sensing of Sea Ice, Geophysical Monograph 68, edited by: Carsey,~F D., American Geophysical Union, Washington DC, 73–104, 1992. </reference>
		<reference numeration="24" content_type="text"> Richter-Menge,~J A., Perovich,~D K., Geiger,~C., Elder,~B C., and Claffey,~K.: Ice mass balance buoy: An instrument to measure and attribute changes in ice thickness. Arctic Sea Ice Thickness: Past, Present and Future, edited by: Wadhams and Amanatidis, Climate Change and Natural Hazards Series 10, EUR 22416, 2006. </reference>
		<reference numeration="25" content_type="text"> Ridley,~J K. and Partington,~K C.: A~model of satellite radar altimeter return from ice sheets, Int. J. Remote Sens., 9, 601–624, 1988. </reference>
		<reference numeration="26" content_type="text"> Rothrock,~D A.: Ice thickness distribution – measurement and theory, in: The Geophysics of Sea Ice, NATO ASI series B: physics, edited by: Untersteiner,~N., Plenum, New York, 146, 551–575, 1986. </reference>
		<reference numeration="27" content_type="text"> Rothrock,~D A., Zhang,~J., and Yu,~Y.: The arctic ice thickness anomaly of the 1990s: A~consistent view from observations and models, J. Geophys. Res., 108, 3083, doi:10.1029/2001JC001208, 2003. </reference>
		<reference numeration="28" content_type="text"> Timco,~G W. and Frederking,~R M W.: A~review of sea ice density, Cold Reg. Sci. Technol., 24, 1–6, 1996. </reference>
		<reference numeration="29" content_type="text"> Tonboe,~R T., Andersen,~S., Gill,~R S., and Toudal Pedersen,~L.: The simulated seasonal variability of the Ku-band radar altimeter effective scattering surface depth in sea ice. Arctic Sea Ice Thickness: Past, Present and Future, edited by: Wadhams and Amanatidis, Climate Change and Natural Hazards Series 10, EUR 22416, 2006b. </reference>
		<reference numeration="30" content_type="text"> Tonboe,~R., Andersen,~S., and Toudal Pedersen,~L.: Simulation of the Ku-band radar altimeter sea ice effective scattering surface, IEEE Geosci. Remote S., 3, 237–240, 2006a. </reference>
		<reference numeration="31" content_type="text"> Ulaby,~F T., Moore,~R K., and Fung,~A K.: Microwave Remote Sensing, from Theory to Applications, vol 3, Artech House, Dedham MA, 1986. </reference>
		<reference numeration="32" content_type="text"> Wadhams,~P.: Evidence for thinning of the Arctic ice cover north of Greenland, Nature, 345, 795–797, 1990. </reference>
		<reference numeration="33" content_type="text"> Wadhams,~P., Tucker III,~W B., Krabill,~W B., Swift,~R N., Comiso,~J C., and Davis,~N R.: Relationship between sea ice freeboard and draft in the Arctic basin and implications for sea ice monitoring, J. Geophys. Res., 97, 20325–20334, 1992. </reference>
		<reference numeration="34" content_type="text"> Warren,~S G., Rigor,~I G., Untersteiner,~N., Radionov,~V F., Bryazgin,~N N., Aleksandrov,~Y I., and Colony,~R.: Snow Depth on Arctic Sea Ice, J. Climate, 12, 1814–1829, 1999. </reference>
		<reference numeration="35" content_type="text"> Wiesmann,~A., Mätzler,~C., and Weise,~T.: Radiometric and structural measurements of snow samples, Radio Sci., 33, 273–289, 1998. </reference>
		<reference numeration="36" content_type="text"> Wingham, D. J., Francis, C. R., Baker, S.: CryoSat: A~mission to determine the fluctuations in Earth&apos;s land and marine fields, Adv. Space Res., 37, 841–871, 2006. </reference>
		<reference numeration="37" content_type="text"> Wingham,~D.: The first of the European Space Agency&apos;s opportunity missions: CryoSat, Earth Observation Quarterly, 63, 21–24, 1999. </reference>
	</references>
</article>

