研究论文

一个基于模拟退火法的陆面数据同化算法

  • 李新 ,
  • 程国栋 ,
  • 小池俊雄
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  • 1.中国科学院寒区旱区环境与工程研究所,甘肃 兰州 730000;2.东京大学工学部土木工学科,日本 东京 1138656
李新(1969-),男,研究员,主要从事遥感与地理信息系统研究.E-mail:lixin@ns.lzb.ac.cn

收稿日期: 2002-12-17

  修回日期: 2003-05-19

  网络出版日期: 2003-08-01

基金资助

国家自然科学基金项目“中国西部地区陆面数据同化系统”(编号:90202014)和“青藏高原积雪和冻土的被动微波遥感监测研究”(编号:49971060);中国科学院知识创新工程重大项目“青藏铁路工程与多年冻土相互作用及其环境效应”(编号:KZCX1-SW-04)资助·所使用的数据来自于中日GAME-Tibet项目.

AN ALGORITHM FOR LAND DATA ASSIMILATION BY USING SIMULATED ANNEALING METHOD

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  • 1.Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China;2.Department of Civil Engineering, the University of Tokyo, Tokyo 113-8656, Japan

Received date: 2002-12-17

  Revised date: 2003-05-19

  Online published: 2003-08-01

摘要

陆面数据同化系统是近年来兴起的新领域。我们发展了一个实验型的陆面数据同化方案,它使用一种启发式优化算法---模拟退火法极小化目标泛函。与变分法和Kalman滤波方法比较,这一算法具有独立于目标泛函的优点,可处理模型和观测算子的非线性和不连续性。使用GAME-Tibet实验中的土壤水分观测值进行单点数值实验,成功地将土壤水分观测同化到陆面过程模型 SiB2中。结果表明,与不进行同化相比,土壤水分的估计值有较大改善。

本文引用格式

李新 , 程国栋 , 小池俊雄 . 一个基于模拟退火法的陆面数据同化算法[J]. 地球科学进展, 2003 , 18(4) : 632 -636 . DOI: 10.11867/j.issn.1001-8166.2003.04.0632

Abstract

    The high nonlinearity and discontinuity of landsurface model and radiative transfer model hinder further practical operation of some advanced four dimensional data assimilation methods such as the Kalman filter and the variational method in the land data assimilation system. Accordingly, we develop a new data assimilation algorithm by employing a heuristic optimization approach named simulated annealing, which is capable of minimizing the four dimensional cost function without using the adjoint model. The method has advantages in dealing with the strong nonlinearity and discontinuity, and in finding the global minimal in the hilly structure of the cost function. Additionally, all the processes in the model operator and the observation operator can be kept because the method is independent on the cost function. The disadvantage of this method, when compared to the variational method, is its low efficiency. Therefore, we make efforts to improve the method by incorporating very fast simulated re-annealing(VFSA) algorithms into the data assimilation cycle.
    Based on the VFSA algorithm, we design a research purpose land surface data assimilation system which assimilates the in situ monitoring of soil moisture into a land surface scheme. The modified SiB2 with frozen soil parameterization is used as the model operator. We have implemented one dimensional offline test of the algorithm with the GAME-Tibet observations. The algorithm is compared with a control run without assimilating the observations. The results show that the cost value calculated from the optimized initial values is much smaller. In addition, the bias from observations is also significantly reduced.

参考文献

[1] Daley R. Atmospheric Data Analysis[M]. New York: Cambridge University Press, 1991.

[2] Morel P. An overview of meteorological data assimilation[A].In: Bengtsson L, Ghil M, Kallen E, eds. Dynamic Meteorology: Data Assimilation Methods[C]. New York: Springer-Verlag, 1981. 5-16.

[3] Talagrand O. Assimilation of observations, an introduction[J]. Journal of Meteorological Society of Japan, 1997, 75 (1B): 191-209.

[4] McLaughlin D. Recent development in hydrologic data assimilation[J]. Reviews of Geophysics,1995,(Suppl.): 977-984.

[5] Entekhabi D, Galantowicz J F, 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(2): 438-448.

[6] Galantowicz J F, Entekhabi D, Njoku E G. Test of sequential data assimilation for retrieving profile soil moisture and temperature from observed L-band radio brightness[J]. IEEE Transactions on Geoscience and Remote Sensing, 1999, 37 (4): 1 860-1 870.

[7] Hoeben R, Troch P A. Assimilation of active microwave observation data for soil moisture profile estimation[J]. Water Resources Research, 2000, 36 (10): 2 805-2 819.

[8] Houser P R, Shuttleworth W J, Famiglietti J S, et al. Integration of soil moisture remote sensing and hydrologic modeling using data assimilation[J]. Water Resources Research, 1998, 34 (12):3 405-3 420.

[9] 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 algorithm[J]. Advances in Water Resources,2001,24: 631-650.

[10] Kruger J. Simulated annealing—A tool for data assimilation into an almost steady model state[J]. Journal of Physical Oceanography, 1993, 23 (4): 679-688.

[11] Bennett A F, Chua B S. Open-ocean modeling as an inverse problem: The primitive equations[J]. Monthly Weather Review, 1994, 122 (6): 1 326-1 336.

[12] Evensen G. Advanced data assimilation for strongly nonlinear dynamics[J]. Monthly Weather Review, 1997, 125 (6): 1 342-1 354.

[13] Ingber L. Very fast simulated re-annealing[J]. Mathematical Computer Modelling, 1989, 12 (8): 967-973.

[14] Zupanski M, Kalnay E. Principles of data assimilation[A]. In: Browning K A, Gurney R J, eds. Global Energy and Water Cycles[C]. New York: Cambridge University Press, 1999.

[15] Li Xin, Koike T. A new frozen soil parameterization in land surface scheme[A]. In: Matsuno T, Kida H, eds. Present and Future of Modeling Global Environmental Change: Toward Integrated Modeling[C]. Tokyo: TERRAPUB, 2001. 405-414.

[16] Kirkpatrick S, Gelatt C D Jr, Vecchi M P. Optimization by simulated annealing[J]. Science, 1983, 220(4 598): 671-680.

[17] Szu H, Hartley R. Fast simulated annealing[J]. Physics Letters A, 1987, 122 (3/4): 157-162.

[18] Sellers P J, Los S O, Tucker C J, et al. A revised land surface parameterization (SiB2) for atmospheric GCMs. Part II: Thegeneration of global fields of terrestrial biophysical parameters from satellite data[J]. Journal of Climate, 1996, 9: 706-737.

[19] Li Xin, Koike T. Frozen soil parameterization in SiB2 and its validation with GAME-Tibet observations[J]. Cold Region Science and Technology,2003,36(1/3):165-182.

[20] Evensen G. Inverse methods and data assimilation in nonlinear ocean models[J]. Physica D, 1994, 77 (1/3): 108-129.

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