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PIER PIER B PIER C PIER M PIER Letters
2023-12-31
SWE Retrieval Algorithms Based on the Parameterized BI-Continuous DMRT Model Without Priors on Grain Size OR Scattering Albedo
By
Firoz Kanti Borah,

    Mr. Firoz Kanti Borah

    Department of Electrical Engineering and Computer Science

    University of Michigan

    USA

    Homepage

Leung Tsang,

    Professor Leung Tsang

    Department of Electrical Engineering and Computer Science

    University of Michigan

    USA

    Homepage

Edward J. Kim

    Dr. Edward J. Kim

    NASA Goddard Space Flight Center

    USA

    Homepage

Progress In Electromagnetics Research, Vol. 178, 129-147, 2023
doi:10.2528/PIER23071101
Abstract
In this paper, we develop two new algorithms for snow water equivalent (SWE) retrieval based on the volume scattering snow at X (9.6 GHz) and Ku (17.2 GHz). Significantly, neither algorithm requires a prior on grain size or on scattering albedo. The two algorithms are based on modifications of the previous algorithm published in our previous two papers (Zhu et al. 2018, 2021). The physical model is the bi-continuous DMRT model, and a parametrization is carried out over a look-up table of DMRT results. The parameterized model gives the X and Ku band co-polarization backscatter as a pair of equations in terms of two parameters SWE and scattering albedo at X band (ωX). By directly inverting the pair of equations for, σX (SWE, ωX) and σKu (SWE, ωX), we show that there are at most a pair of solutions which have SWE values that are far apart in most cases, facilitating identification of the correct solution. The first algorithm described in this paper, labelled an algebraic algorithm, uses inversion alone and does not employ a cost function. The proposed algebraic algorithm is validated with multiple airborne data sets and three years of tower-based snow observations. The robustness of the no-prior approach was validated with the airborne observations, by using a prior SWE value that is intentionally far (75% different) from the true SWE. For the validation using tower-based data, three years of observations from the NoSREx experiment in Sodankyla, Finland were used in which the previous SWE result helps to correctly choose between the two solutions. The second cost function-based algorithm finds the SWE and ωX pair which minimizes the difference between the observed volume scattering σX,obs and σKu,obs and the model-predicted volume scattering σX,mod and σKu,mod. The cost function uses prior information on SWE, also based on a time series starting with zero/low SWE. NoSREx data is used to show results from this approach. The new algorithm combined with time series eliminates needs of ancillary information of SWE and grain sizes, making the algorithm useful for level-2 products of a satellite mission.
Citation
Firoz Kanti Borah, Leung Tsang, and Edward J. Kim, "SWE Retrieval Algorithms Based on the Parameterized BI-Continuous DMRT Model Without Priors on Grain Size OR Scattering Albedo," Progress In Electromagnetics Research, Vol. 178, 129-147, 2023.
doi:10.2528/PIER23071101
References

1. Zhu, Jiyue, Shurun Tan, Joshua King, Chris Derksen, Juha Lemmetyinen, and Leung Tsang, "Forward and inverse radar modeling of terrestrial snow using snowSAR data," IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, No. 12, 7122-7132, 2018.

2. Zhu, Jiyue, Shurun Tan, Leung Tsang, Do-Hyuk Kang, and Edward Kim, "Snow water equivalent retrieval using active and passive microwave observations," Water Resources Research, Vol. 57, No. 7, 2021.

3. Rott, Helmut, Simon H. Yueh, Donald W. Cline, Claude Duguay, Richard Essery, Christian Haas, Florence Heliere, Michael Kern, Giovanni Macelloni, Eirik Malnes, Thomas Nagler, Jouni Pulliainen, Helge Rebhan, and Alan Thompson, "Cold regions hydrology high-resolution observatory for snow and cold land processes," Proceedings of The IEEE, Vol. 98, No. 5, 752-765, May 2010.
doi:10.1109/JPROC.2009.2038947

4. Tsang, Leung, Michael Durand, Chris Derksen, Ana P. Barros, Do-Hyuk Kang, Hans Lievens, Hans-Peter Marshall, Jiyue Zhu, Joel Johnson, Joshua King, Juha Lemmetyinen, Melody Sandells, Nick Rutter, Paul Siqueira, Anne Nolin, Batu Osmanoglu, Carrie Vuyovich, Edward Kim, Drew Taylor, Ioanna Merkouriadi, Ludovic Brucker, Mahdi Navari, Marie Dumont, Richard Kelly, Rhae Sung Kim, Tien-Hao Liao, Firoz Borah, and Xiaolan Xu, "Review article: global monitoring of snow water equivalent using high-frequency radar remote sensing," Cryosphere, Vol. 16, No. 9, 3531-3573, Sep. 2 2022.
doi:10.5194/tc-16-3531-2022

5. Shi, Jiancheng, "Snow water equivalence retrieval using X and Ku band dual-polarization radar," 2006 IEEE International Symposium on Geoscience and Remote Sensing, 2183-2185, 2006.

6. Yueh, Simon H, Steve J Dinardo, Ahmed Akgiray, Richard West, Donald W Cline, and Kelly Elder, "Airborne Ku-band polarimetric radar remote sensing of terrestrial snow cover," IEEE Transactions on Geoscience and Remote Sensing, Vol. 47, No. 10, 3347-3364, 2009.

7. Chang, Alfred T. C., James L. Foster, Dorothy K. Hall, A. Rango, and Beverly K. Hartline, "Snow water equivalent estimation by microwave radiometry," Cold Regions Science and Technology, Vol. 5, No. 3, 259-267, 1982.

8. Chang, A. T. C., J. L. Foster, M. Owe, D. K. Hall, and A. Rango, "Passive and active microwave studies of wet snowpack properties: results of march 4, 1981, aircraft mission," Hydrology Research, Vol. 16, No. 2, 57-66, 1985.

9. Tsang, Leung, Chi-Te Chen, Alfred TC Chang, Jianjun Guo, and Kung-Hau Ding, "Dense media radiative transfer theory based on quasicrystalline approximation with applications to passive microwave remote sensing of snow," Radio Science, Vol. 35, No. 3, 731-749, 2000.

10. Kelly, Richard E., Alfred T. Chang, Leung Tsang, and James L. Foster, "A prototype AMSR-E global snow area and snow depth algorithm," IEEE Transactions on Geoscience and Remote Sensing, Vol. 41, No. 2, 230-242, 2003.

11. Foster, James L., Chaojiao Sun, Jeffrey P. Walker, Richard Kelly, Alfred Chang, Jiarui Dong, and Hugh Powell, "Quantifying the uncertainty in passive microwave snow water equivalent observations," Remote Sensing of Environment, Vol. 94, No. 2, 187-203, 2005.

12. Zuniga, Michael A., Tarek M. Habashy, and Jin Au Kong, "Active remote sensing of layered random media," IEEE Transactions on Geoscience Electronics, Vol. 17, No. 4, 296-302, 1979.

13. Ulaby, Fawwaz T. and William H. Stiles, "The active and passive microwave response to snow parameters: 2. water equivalent of dry snow," Journal of Geophysical Research: Oceans, Vol. 85, No. C2, 1045-1049, 1980.

14. Tsang, Leung, Jin Pan, Ding Liang, Zhongxin Li, Donald W Cline, and Yunhua Tan, "Modeling active microwave remote sensing of snow using dense media radiative transfer (DMRT) theory with multiple-scattering effects," IEEE Transactions on Geoscience and Remote Sensing, Vol. 45, No. 4, 990-1004, 2007.

15. Proksch, Martin, C. Mätzler, A. Wiesmann, et al., "MEMLS3&a: microwave emission model of layered snowpacks adapted to include backscattering," Geosci Model Dev, Vol. 8, No. 8, 2611-2626, 2015.
doi:10.5194/gmd-8-2611-2015

16. Xu, Xiaolan, Leung Tsang, and Simon Yueh, "Electromagnetic models of co/cross polarization of bicontinuous/dmrt in radar remote sensing of terrestrial snow at X-and Ku-band for CoReH2O and SCLP applications," IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 5, No. 3, 1024-1032, 2012.

17. Tan, Shurun, Wenmo Chang, Leung Tsang, Juha Lemmetyinen, and Martin Proksch, "Modeling both active and passive microwave remote sensing of snow using dense media radiative transfer (DMRT) theory with multiple scattering and backscattering enhancement," IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 8, No. 9, 4418-4430, 2015.

18. Picard, Ghislain, M. Sandells, and H. Löwe, "SMRT: An active-passive microwave radiative transfer model for snow with multiple microstructure and scattering formulations (v1.0)," Geosci Model Dev, Vol. 11, No. 7, 2763-2788, Jul. 2018.
doi:10.5194/gmd-11-2763-2018

19. Lemmetyinen, Juha, C. Derksen, H. Rott, et al., "Retrieval of effective correlation length and snow water equivalent from radar and passive microwave measurements," Remote Sens (Basel), Vol. 10, No. 2, 170, Jan. 2018.
doi:10.3390/rs10020170

20. King, Joshua, Chris Derksen, Peter Toose, Alexandre Langlois, Chris Larsen, Juha Lemmetyinen, Phil Marsh, Benoit Montpetit, Alexandre Roy, Nick Rutter, et al., "The influence of snow microstructure on dual-frequency radar measurements in a tundra environment," Remote Sensing of Environment, Vol. 215, 242-254, 2018.

21. Kuga, Yasuo and Akira Ishimaru, "Retroreflectance from a dense distribution of spherical particles," Journal of the Optical Society of America A, Vol. 1, No. 8, 831-835, 1984.

22. Tsang, Leung and Akira Ishimaru, "Backscattering enhancement of random discrete scatterers," Journal of the Optical Society of America A, Vol. 1, No. 8, 836, 1984.

23. Tsang, Leung and Jin Au Kong, Scattering of Electromagnetic Waves: Advanced Topics, John Wiley & Sons, 2004.

24. Cui, Yurong, Chuan Xiong, Juha Lemmetyinen, Jiancheng Shi, Lingmei Jiang, Bin Peng, Huixuan Li, Tianjie Zhao, Dabin Ji, and Tongxi Hu, "Estimating snow water equivalent with backscattering at X and Ku band based on absorption loss," Remote Sensing, Vol. 8, No. 6, 505, 2016.

25. Xiong, Chuan, Jiancheng Shi, and Juha Lemmetyinen, "Refinement of the X and Ku band dual-polarization scatterometer snow water equivalent retrieval algorithm," 2014 IEEE Geoscience and Remote Sensing Symposium, 2419-2422, 2014.

26. Xiong, Chuan and Jiancheng Shi, "The potential for estimating snow depth with quikscat data and a snow physical model," IEEE Geoscience and Remote Sensing Letters, Vol. 14, No. 7, 1156-1160, 2017.

27. Santi, Emanuele, Simonetta Paloscia, Simone Pettinato, Ludovica De Gregorio, Giovanni Cuozzo, Alexander Jacob, Claudia Notarnicola, Francesca Cigna, and Deodato Tapete, "SWE retrieval in alpine areas with high-resolution cosmo-skymed X-band SAR data using artificial neural networks and support vector regression techniques," 2020 Xxxiiird General Assembly and Scientific Symposium of The International Union of Radio Science, 1-4, 2020.

28. Sensing, Passive Microwave Remote, "Inversion of snow parameters from passive microwave remote sensing measurements by a neural network trained with a multiple scattering model," IEEE Transactions on Geoscience and Remote Sensing, Vol. 30, No. 5, 1015, 1992.

29. Chang, A. T. C. and L Tsang, "A neural network approach to inversion of snow water equivalent from passive microwave measurements," Hydrology Research, Vol. 23, No. 3, 173-182, 1992.

30. Du, Jinyang, Jiancheng Shi, and Helmut Rott, "Comparison between a multi-scattering and multi-layer snow scattering model and its parameterized snow backscattering model," Remote Sensing of Environment, Vol. 114, No. 5, 1089-1098, 2010.

31. Oh, Yisok, Kamal Sarabandi, and Fawwaz T. Ulaby, "An empirical model and an inversion technique for radar scattering from bare soil surfaces," IEEE Transactions on Geoscience and Remote Sensing, Vol. 30, No. 2, 370-381, 1992.

32. Zhu, Jiyue, Leung Tsang, Tien-Hao Liao, Joel T. Johnson, Do Hyuk Kang, and Edward J. Kim, "Radar backscattering of rough soil surfaces from L-band to Ku-band with NMM3D," IEEE Geoscience and Remote Sensing Letters, Vol. 19, 1-5, 2022.

33. Ding, Kung-Hau, Xiaolan Xu, and Leung Tsang, "Electromagnetic scattering by bicontinuous random microstructures with discrete permittivities," IEEE Transactions on Geoscience and Remote Sensing, Vol. 48, No. 8, 3139-3151, 2010.

34. Mätzler, C., "Improved born approximation for scattering of radiation in a granular medium," J. Appl. Phys., Vol. 83, No. 11, 6111-6117, Jun. 1998.
doi:10.1063/1.367496

35. Mätzler, C., "Relation between grain-size and correlation length of snow," Journal of Glaciology, Vol. 48, No. 162, 461-466, Sep. 2002.
doi:10.3189/172756502781831287

36. Lemmetyinen, Juha, Jouni Pulliainen, Andrew Rees, Anna Kontu, Yubao Qiu, and Chris Derksen, "Multiple-layer adaptation of hut snow emission model: comparison with experimental data," IEEE Transactions on Geoscience and Remote Sensing, Vol. 48, No. 7, 2781-2794, 2010.

37. Pan, Jinmei, Michael Durand, Melody Sandells, Juha Lemmetyinen, Edward J Kim, Jouni Pulliainen, Anna Kontu, and Chris Derksen, "Differences between the HUT snow emission model and MEMLS and their effects on brightness temperature simulation," IEEE Transactions on Geoscience and Remote Sensing, Vol. 54, No. 4, 2001-2019, 2015.

38. Lemmetyinen, Juha, J. Cohen, A. Kontu, et al., "Airborne snowsar data at X and Ku bands over boreal forest, alpine and tundra snow cover," Earth Syst. Sci. Data, Vol. 14, No. 9, 3915-3945, Sep. 2022.
doi:10.5194/essd-14-3915-2022

39. Lemmetyinen, Juha, A. Kontu, J. Pulliainen, et al., "Nordic snow radar experiment," Geoscientific Instrumentation, Methods and Data Systems, Vol. 5, No. 2, 403-415, Sep. 2016.
doi:10.5194/gi-5-403-2016

40. Durand, Michael, Joel T. Johnson, Jack Dechow, Leung Tsang, Firoz Borah, and Edward J. Kim, "Retrieval of SWE from dual-frequency radar measurements: Using timeseries to overcome the need for accurate a priori information," Egusphere, Vol. 2023, 1-23, 2023.

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