Assessing the Performance of the Ensemble Kalman Filter for Soil Moisture Profile Retrieval
Received date: 2009-10-29
Revised date: 2010-01-15
Online published: 2010-04-10
Supported by
苟浩锋(1979),男,甘肃庆阳人,硕士研究生,主要从事陆面过程同化算法应用的研究.E-mail:gouhf07@lzu.cn
The ensemble Kalman filter is an easy to use, flexible, and efficient data assimilation algorithm widely used in Land Surface Data Assimilation System. It bases on the normality approximation of model error and observational error as well as the linearity assumption of the soil moisture errors between the near-surface observation and other deep layers. However, the soil moisture equation is highly nonlinear and also soil moisture can be highly skewed toward the wet or dry ends. To evaluate the effects of these approximations and the performance of the ensemble kalman filter (EnKF) in estimating soil moisture profile based on the near-surface soil moisture measurements, the results from the EnKF are compared with those obtained from a sequential importance resampling (SIR) particle filter that is one of nonlinear filters . The comparative results show: the EnKF can quickly and accurately obtain the exact soil moisture profile regardless of the small number of ensemble members used (40) or the large number of ensemble members used (800); however, the SIR needs the large number of replicates required to accurately represent the variable conditional probability densities. The near-surface soil moisture forecast densities, the skewness and kurtosis and obtained from the EnKF are completely different from those from the SIR filter; the densities from the EnKF is only one modal during the total assimilation time window but those from the SIR experiences from one mode to two modes and again to one mode process.
GOU Gao-Feng , LIU Pan-Hua , ZHANG Shu-Wen , LI De-Qi . Assessing the Performance of the Ensemble Kalman Filter for Soil Moisture Profile Retrieval[J]. Advances in Earth Science, 2010 , 25(4) : 400 -407 . DOI: 10.11867/j.issn.1001-8166.2010.04.0400
[1] Walker J P, Willgoose G R, Kalma J D.One-dimensional soil moisture profile retrieval by assimilation of near-surface observations: A comparison of retrieval algorithms[J].Advances in Water Resources,2001,24(6):631-650.
[2] Entekhabi D,Nakamura H, Njoku E G. Solving the inverse problem for soil moisture and temperature profiles by sequential assimilation of multifrequency remotely sensed observations[J].IEEE Transactions on Geoscience and Remote Sensing,1994, 32:438-448.
[3] Reichle R H, Mclaughlin D B, Entekhabi D. Hydrologic data assimilation with the ensemble Kalman filter[J].Monthly Weather Review,2002,130:103-114.
[4] Hoeben R, Troch P A. Assimilation of active microwave observation data for soil moisture profile estimation[J].Water Resources Research,2000,36:2 805-2 819.
[5] Galantowicz J F, Entekhabi D, Njoku E G.Tests of sequential data assimilation for retrieving profile soil moisture and temperature from observed L-Band radiobrightness[J]. IEEE Transactions on Geoscience and Remote Sensing,1999,37:1 860-1 870.
[6] Xiwu Zhan, Houser P R, Walker J P, et al.A method for retrieving high-resolution surface soil moisture from hydros L-Band radiometer and radar observations[J].IEEE Transactions on Geoscience and Remote Sensing,2006,44:1 534-1 544.
[7] Boussetta S, Koike T, Graf T, et al. Development of a coupled land-atmosphere satellite data assimilation system for Improved local atmospheric simulations[J]. Remote Sensing of Environment,2008,112(3):720-734.
[8] Jones A S, Evic T V, Vonder Haar T H.A microwave satellite observational operator for variational data assimilation of soil moisture[J]. Journal of Hydrometeorology, 2004, 5:213-229.
[9] Tian Xiangjun ,Xie Zhenghui.A land surface soil moisture data assimilation framework in consideration of the model subgrid-scale heterogeneity and soil water thawing and freezing[J]. Science in China (Series D),2008, 51: 992-1 000.
[10] Han Xujun, Li Xin. Review of the nonlinear filters in the land data assimilation[J]. Advances in Earth Science, 2008,23(8):813-820.[韩旭军, 李新.非线性滤波方法与陆面数据同化[J].地球科学进展,2008,23(8):813-820.]
[11] Arulanmpalam S, Maskell S, Gordon N,et al. A tutorial on particle filters for on-line non-linear/non-gaussian bayesian tracking[J].IEEE Transactions on Signal Processing,2002,50:174-188.
[12] Zhou Yuhua, Mclaughlin D, Entekhabi D.Assessing the performance of the ensemble Kalman filter for land surface data assimilation[J]. Monthly Weather Review,2005,134:2 128-2 142.
[13] Zhang Qiang, Wang Sheng. On land surface processes and its experimental study in Chinese Loess Plateau[J]. Advances in Earth Science,2008,2:167-173.[张强,王胜.关于黄土高原陆面过程及其观测试验研究[J].地球科学进展,2008,2:167-173.]
[14] Zgang Qiang,Hu Xiangjun, Wang Sheng,et al. Some technological and scientific issues about the experimental study of land surface processes in Chinese Loess Plateau(LOPEX)[J]. Advances in Earth Science,2009,4:363-371.[张强,胡向军,王胜,等.黄土高原陆面过程试验研究(LOPEX)有关科学问题[J].地球科学进展,2009,4:363-371.].
[15] Xu Meng,Wang Hongwei,Hu Shiqiang. Optimal sensor decision based on particle filter[J].Journal of Shanghai Jiaotong University(Science), 2006,3:296-300.
[16] Peng Zhenming, Li Yalin,Wei Wen′ge,et al. Nonlinear AVO inversion using particle filter[J]. Chinese Journal of Geophysics, 2008,4:1 218-1 225.[彭真明,李亚林,魏文阁,等.粒子滤波非线性AVO反演方法[J].地球物理学报,2008,4:1 218-1 225].
[17] Wu Baocheng. Research and Application of Particle Filter Resampling Algorithms[D]. Harbin:Harbin University of Technology,2006.[吴宝成.粒子滤波重采样算法研究及其应用[D].哈尔滨:哈尔滨工业大学,2006.]
[18] Fan Dianhua. Particle filter[J]. Journal of the Graduates Sun Yat—Sen University, 2005,2:22-32.[范典华.粒子滤波[J].中山大学研究生学刊, 2005,2:22-32.]
[19] Snyder C, Bengtsson T, Bickel P. Obstacles to high-dimensional particle filtering[J]. Monthly Weather Review,2008,136:4 629-4 640.
[20] Evensen G. Sequential data assimilation with a nonlinear QG model using Monte Carlo methods to forecast error statistics[J]. Journal of Geophysical Research, 1994,99:10 143-10 162.
[21] Burgers G, van Leeuwen P J, Evensen G. Analysis scheme in the ensemble Kalman filter[J]. Monthly Weather Review, 1998,126:1 719-1 724.
[22] Whitaker J S, Hamill T M. Ensemble data assimilation without perturbed observations[J]. Monthly Weather Review, 2002,130:1 913-1 924.
[23] Dai Y J, Zeng X B, Dickinson R E I, et al. The common land model (CLM)[J]. Bulletin of the American Meteorological Society,2003,84, 4: 1013-1023,doi:10.1175/BAMS-84-8-1013.
[24] Oleson K W, Coauthors. Technical description of the community land model (CLM)[C]//NCAR Technical Note NCAR/TN-461_STR, 2004:186.
[25] Zhao Aihui,Huang Mingbin,Shi Zhuye. Evaluation of parameter models for estimating loess soil particle-size distribution[J]. Transactions of the CSAE,2008,1:1-6.[赵爱辉,黄明斌,史竹叶. 土壤颗粒分布参数模型对黄土性土壤的适应性研究[J].农业工程学报,2008,1:1-6.]
[26] Wang Xiahui, Wang Yiquan, Kuznetsov M S. Study on physical Properties of several main soils in Loess Plateau[J].Journal of Soil and Water Conservation,2000,4:99-103.[王夏晖,王益权, Kuznetsov M S. 黄土高原几种主要土壤的物理性质研究[J].水土保持学报,2000,4:99-103.]
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