232
Views
79
CrossRef citations to date
0
Altmetric
Original Articles

A POD-based ensemble four-dimensional variational assimilation method

, &
Pages 805-816 | Received 09 Nov 2010, Accepted 18 Apr 2011, Published online: 15 Dec 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

Lu ZHANG, Xiangjun TIAN & Hongqin ZHANG. (2019) Application of multigrid NLS-4DVar in radar radial velocity data assimilation with WRF-ARW. Atmospheric and Oceanic Science Letters 12:6, pages 409-416.
Read now
Bin Zhang, Xiangjun Tian, Jianhua Sun, Feng Chen, Yuanchun Zhang, Lifeng Zhang & Shenming Fu. (2015) PODEn4DVar-based radar data assimilation scheme: formulation and preliminary results from real-data experiments with advanced research WRF (ARW). Tellus A: Dynamic Meteorology and Oceanography 67:1.
Read now
Xiangjun Tian & Xiaobing Feng. (2015) A non-linear least squares enhanced POD-4DVar algorithm for data assimilation. Tellus A: Dynamic Meteorology and Oceanography 67:1.
Read now
Shen Si, Liu Juan-Juan & Wang Bin. (2015) Evaluation of the Historical Sampling Error for Global Models. Atmospheric and Oceanic Science Letters 8:5, pages 250-256.
Read now
Xiangjun Tian & Zhenghui Xie. (2012) Implementations of a square-root ensemble analysis and a hybrid localisation into the POD-based ensemble 4DVar. Tellus A: Dynamic Meteorology and Oceanography 64:1.
Read now

Articles from other publishers (72)

Junting Zhong, Xiaoye Zhang, Lifeng Guo, Deying Wang, Changhong Miao & Xiliang Zhang. (2023) Ongoing CO2 monitoring verify CO2 emissions and sinks in China during 2018–2021. Science Bulletin 68:20, pages 2467-2476.
Crossref
Zhengyuan Song, Dingqi Li, Dongmei Wang & Huanrong Li. (2023) A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model. Journal of Mathematical Analysis and Applications 526:2, pages 127271.
Crossref
Huanrong Li & Rushuang Yang. (2023) Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model. Computers & Mathematics with Applications 143, pages 1-9.
Crossref
Lifeng Guo, Xiaoye Zhang, Junting Zhong, Deying Wang, Changhong Miao, Licheng Zhao, Zijiang Zhou, Jie Liao, Bo Hu, Lingyun Zhu & Yan Chen. (2023) Construction and Application of a Regional Kilometer-Scale Carbon Source and Sink Assimilation Inversion System (CCMVS-R). Engineering.
Crossref
哲 金, 涛 汪, 洪芹 张, 宜龙 汪, 金枝 丁 & 向军 田. (2023) 基于中国大气反演系统的卫星<bold>CO</bold><sub><bold>2</bold></sub>数据同化对全球碳收支的评估. SCIENTIA SINICA Terrae 53:3, pages 587-597.
Crossref
Carolina Introini, Stefano Riva, Stefano Lorenzi, Simone Cavalleri & Antonio Cammi. (2023) Non-intrusive system state reconstruction from indirect measurements: A novel approach based on Hybrid Data Assimilation methods. Annals of Nuclear Energy 182, pages 109538.
Crossref
Zhe Jin, Tao Wang, Hongqin Zhang, Yilong Wang, Jinzhi Ding & Xiangjun Tian. (2023) Constraint of satellite CO2 retrieval on the global carbon cycle from a Chinese atmospheric inversion system. Science China Earth Sciences 66:3, pages 609-618.
Crossref
Carolina Introini, Simone Cavalleri, Stefano Lorenzi, Stefano Riva & Antonio Cammi. (2023) Stabilization of Generalized Empirical Interpolation Method (GEIM) in presence of noise: A novel approach based on Tikhonov regularization. Computer Methods in Applied Mechanics and Engineering 404, pages 115773.
Crossref
Sinan Li, Li Zhang, Jingfeng Xiao, Rui Ma, Xiangjun Tian & Min Yan. (2022) Simulating carbon and water fluxes using a coupled process-based terrestrial biosphere model and joint assimilation of leaf area index and surface soil moisture. Hydrology and Earth System Sciences 26:24, pages 6311-6337.
Crossref
Huanrong Li & Dongmei Wang. (2022) Numerical analysis of energy-stable Crank-Nicolson finite difference schemes for the phase-field equation. Journal of Mathematical Analysis and Applications 514:2, pages 126169.
Crossref
Mingyang Zhang, Lifeng Zhang, Bin Zhang, Jiping Guan, Wei You & Peilong Yu. (2022) Preliminary evaluation of all-sky radiance assimilation scheme with POD-3DEnVar method. Atmospheric Research 275, pages 106198.
Crossref
Shujun Zhu, Bin Wang, Lin Zhang, Juanjuan Liu, Yongzhu Liu, Jiandong Gong, Shiming Xu, Yong Wang, Wenyu Huang, Li Liu, Yujun He & Xiangjun Wu. (2022) A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests. Journal of Advances in Modeling Earth Systems 14:7.
Crossref
Hossein Zare, Tobias K. D. Weber, Joachim Ingwersen, Wolfgang Nowak, Sebastian Gayler & Thilo Streck. (2022) Combining Crop Modeling with Remote Sensing Data Using a Particle Filtering Technique to Produce Real-Time Forecasts of Winter Wheat Yields under Uncertain Boundary Conditions. Remote Sensing 14:6, pages 1360.
Crossref
Yulong Bai, Di Wang, Yizhao Wang & Mingheng Chang. (2021) Differential evolution algorithm-based multiple-factor optimization methods for data assimilation. Intelligent Data Analysis 25:6, pages 1473-1486.
Crossref
Vincent Mons, Yifan Du & Tamer A. Zaki. (2021) Ensemble-variational assimilation of statistical data in large-eddy simulation. Physical Review Fluids 6:10.
Crossref
Jingnan Wang, Lifeng Zhang, Jiping Guan, Xiaodong Wang, Mingyang Zhang & Yuan Wang. (2021) Potential Impacts of Assimilating Every-10-Minute Himawari-8 Satellite Radiance with the POD-4DEnVar Method. Remote Sensing 13:18, pages 3765.
Crossref
Huanrong Li, Dongmei Wang, Zhengyuan Song & Fuchen Zhang. (2021) Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model. Computers & Mathematics with Applications 96, pages 67-76.
Crossref
Zhengyuan Song & Huanrong Li. (2021) Numerical simulation of the temperature field of the stadium building foundation in frozen areas based on the finite element method and proper orthogonal decomposition technique. Mathematical Methods in the Applied Sciences 44:11, pages 8528-8542.
Crossref
Hongqin Zhang & Xiangjun Tian. (2021) Evaluating the Forecast Impact of Assimilating ATOVS Radiance With the Regional System of Multigrid NLS‐4DVar Data Assimilation for Numerical Weather Prediction (SNAP). Journal of Advances in Modeling Earth Systems 13:7.
Crossref
Huanrong Li, Zhengyuan Song & Fuchen Zhang. (2020) A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation. Numerical Methods for Partial Differential Equations 37:3, pages 1869-1885.
Crossref
Andrey A. Popov, Changhong Mou, Adrian Sandu & Traian Iliescu. (2021) A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates. SIAM Journal on Scientific Computing 43:2, pages A1134-A1162.
Crossref
Hongqin Zhang, Xiangjun Tian, Wei Cheng & Lipeng Jiang. (2020) System of Multigrid Nonlinear Least-squares Four-dimensional Variational Data Assimilation for Numerical Weather Prediction (SNAP): System Formulation and Preliminary Evaluation. Advances in Atmospheric Sciences 37:11, pages 1267-1284.
Crossref
Yulong Bai, Xiaoyan Ma & Lin Ding. (2020) A Fuzzy-Logic-Based Covariance Localization Method in Data Assimilation. Atmosphere 11:10, pages 1055.
Crossref
Jingnan Wang, Lifeng Zhang, Jiping Guan & Mingyang Zhang. (2020) Evaluation of Combined Satellite and Radar Data Assimilation with POD-4DEnVar Method on Rainfall Forecast. Applied Sciences 10:16, pages 5493.
Crossref
Xin Li, Feng Liu & Miao Fang. (2020) Harmonizing models and observations: Data assimilation in Earth system science. Science China Earth Sciences 63:8, pages 1059-1068.
Crossref
Lu Zhang, Xiangjun Tian, Hongqin Zhang & Feng Chen. (2020) Impacts of Multigrid NLS-4DVar-based Doppler Radar Observation Assimilation on Numerical Simulations of Landfalling Typhoon Haikui (2012). Advances in Atmospheric Sciences 37:8, pages 873-892.
Crossref
Vincent Mons, Qi Wang & Tamer A. Zaki. (2019) Kriging-enhanced ensemble variational data assimilation for scalar-source identification in turbulent environments. Journal of Computational Physics 398, pages 108856.
Crossref
Tariq Mahmood, Zhenghui Xie, Binghao Jia, Ammara Habib & Rashid Mahmood. (2020) A Soil Moisture Data Assimilation System for Pakistan Using PODEn4DVar and CLM4.5. Journal of Meteorological Research 33:6, pages 1182-1193.
Crossref
Xiangjun Tian & Hongqin Zhang. (2019) A Big Data‐Driven Nonlinear Least Squares Four‐Dimensional Variational Data Assimilation Method: Theoretical Formulation and Conceptual Evaluation. Earth and Space Science 6:8, pages 1430-1439.
Crossref
Xiangjun Tian & Xiaobing Feng. (2019) An Adjoint-Free CNOP–4DVar Hybrid Method for Identifying Sensitive Areas Targeted Observations: Method Formulation and Preliminary Evaluation. Advances in Atmospheric Sciences 36:7, pages 721-732.
Crossref
Mingyang Zhang, Lifeng Zhang, Bin Zhang, Jiping Guan & Wei You. (2019) Assimilation of MWHS and MWTS radiance data from the FY-3A satellite with the POD-3DEnVar method for forecasting heavy rainfall. Atmospheric Research 219, pages 95-105.
Crossref
Yuxuan Yang, Lifeng Zhang, Bin Zhang, Wei You, Mingyang Zhang & Binpeng Xie. (2018) Application of a Physical Ensemble Method in the POD-4DEnVar. Weather and Forecasting 33:6, pages 1567-1585.
Crossref
D. Xiao, J. Du, F. Fang, C.C. Pain & J. Li. (2018) Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. Computers & Fluids 177, pages 69-77.
Crossref
Hongqin Zhang & Xiangjun Tian. (2018) A Multigrid Nonlinear Least Squares Four‐Dimensional Variational Data Assimilation Scheme With the Advanced Research Weather Research and Forecasting Model. Journal of Geophysical Research: Atmospheres 123:10, pages 5116-5129.
Crossref
Mingyang Zhang, Lifeng Zhang & Bin Zhang. (2018) FY-3A Microwave Data Assimilation Based on the POD-4DEnVar Method. Atmosphere 9:5, pages 189.
Crossref
Hongqin Zhang & Xiangjun Tian. (2018) An Efficient Local Correlation Matrix Decomposition Approach for the Localization Implementation of Ensemble‐Based Assimilation Methods. Journal of Geophysical Research: Atmospheres 123:7, pages 3556-3573.
Crossref
Xiaobing Geng, Zhenghui Xie, Lijun Zhang, Mei Xu & Binghao Jia. (2018) An inverse method to estimate emission rates based on nonlinear least-squares-based ensemble four-dimensional variational data assimilation with local air concentration measurements. Journal of Environmental Radioactivity 183, pages 17-26.
Crossref
Xiangjun Tian, Hongqin Zhang, Xiaobing Feng & Yuanfu Xie. (2018) Nonlinear Least Squares En4DVar to 4DEnVar Methods for Data Assimilation: Formulation, Analysis, and Preliminary Evaluation. Monthly Weather Review 146:1, pages 77-93.
Crossref
V. Mons, L. Margheri, J.-C. Chassaing & P. Sagaut. (2017) Data assimilation-based reconstruction of urban pollutant release characteristics. Journal of Wind Engineering and Industrial Aerodynamics 169, pages 232-250.
Crossref
He LI, Zhi-wei JIANG, Zhong-xin CHEN, Jian-qiang REN, Bin LIU & Hasituya. (2017) Assimilation of temporal-spatial leaf area index into the CERES-Wheat model with ensemble Kalman filter and uncertainty assessment for improving winter wheat yield estimation. Journal of Integrative Agriculture 16:10, pages 2283-2299.
Crossref
Xingxia Kou, Xiangjun Tian, Meigen Zhang, Zhen Peng & Xiaoling Zhang. (2017) Accounting for CO2 variability over East Asia with a regional joint inversion system and its preliminary evaluation. Journal of Meteorological Research 31:5, pages 834-851.
Crossref
Shaohui Chen. (2017) A generalized Gaussian distribution based uncertainty sampling approach and its application in actual evapotranspiration assimilation. Journal of Hydrology 552, pages 745-764.
Crossref
Xingxia Kou, Zhekun Huang, Hongnian Liu, Meigen Zhang, Si Shen & Zhen Peng. (2017) Evaluating the Role of the EOF Analysis in 4DEnVar Methods. Atmosphere 8:8, pages 146.
Crossref
Bin Zhang, XiangJun Tian, LiFeng Zhang & JianHua Sun. (2017) Handling non-linearity in radar data assimilation using the non-linear least squares enhanced POD-4DVar. Science China Earth Sciences 60:3, pages 478-490.
Crossref
He Li, Zhongxin Chen, Gaohuan Liu, Zhiwei Jiang & Chong Huang. (2017) Improving Winter Wheat Yield Estimation from the CERES-Wheat Model to Assimilate Leaf Area Index with Different Assimilation Methods and Spatio-Temporal Scales. Remote Sensing 9:3, pages 190.
Crossref
Rui Ma, Li Zhang, Xiangjun Tian, Jiancai Zhang, Wenping Yuan, Yi Zheng, Xiang Zhao & Tomomichi Kato. (2017) Assimilation of Remotely-Sensed Leaf Area Index into a Dynamic Vegetation Model for Gross Primary Productivity Estimation. Remote Sensing 9:3, pages 188.
Crossref
Shuying Leng, Xizhang Gao, Tao Pei, Guoyou Zhang, Liangfu Chen, Xi Chen, Canfei He, Daming He, Xiaoyan Li, Chunye Lin, Hongyan Liu, Weidong Liu, Yihe Lü, Shilong Piao, Qiuhong Tang, Fulu Tao, Lide Tian, Xiaohua Tong, Cunde Xiao, Desheng Xue, Linsheng Yang, Linwang Yuan, Yuanming Zheng, Huiyi Zhu & Liping ZhuLiangfu Chen, Jin Chen, Guangjian Yan, Wenjie Fan, Xiaozhou Xin, Chaoyang Wu, Tianjie Zhao, Shenglei Zhang & Xiaoying Li. 2017. The Geographical Sciences During 1986—2015. The Geographical Sciences During 1986—2015 323 338 .
Long Zhao, Zong-Liang Yang & Timothy J. Hoar. (2016) Global Soil Moisture Estimation by Assimilating AMSR-E Brightness Temperatures in a Coupled CLM4–RTM–DART System. Journal of Hydrometeorology 17:9, pages 2431-2454.
Crossref
Miao Fang & Xin Li. (2016) Paleoclimate data assimilation: Its motivation, progress and prospects. Science China Earth Sciences 59:9, pages 1817-1826.
Crossref
苗 方 & 新 李. (2022) 古气候数据同化<bold>: </bold>缘起<bold>、</bold>进展与展望. SCIENTIA SINICA Terrae 46:8, pages 1076-1086.
Crossref
S. Lu, H. X. Lin, A. W. Heemink, G. Fu & A. J. Segers. (2016) Estimation of Volcanic Ash Emissions Using Trajectory-Based 4D-Var Data Assimilation. Monthly Weather Review 144:2, pages 575-589.
Crossref
Shaohui Chen. (2016) À Trous Wavelet Based Four-Dimensional Evapotranspiration Assimilation. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 9:1, pages 467-474.
Crossref
Xiangjun Tian, Xiaobing Feng, Hongqin Zhang, Bin Zhang & Rui Han. (2016) An enhanced ensemble-based method for computing CNOPs using an efficient localization implementation scheme and a two-step optimization strategy: formulation and preliminary tests. Quarterly Journal of the Royal Meteorological Society 142:695, pages 1007-1016.
Crossref
Qin Sun, ZhengHui Xie & XiangJun Tian. (2015) GRACE terrestrial water storage data assimilation based on the ensemble four-dimensional variational method PODEn4DVar: Method and validation. Science China Earth Sciences 58:3, pages 371-384.
Crossref
Daryl T. Kleist & Kayo Ide. (2015) An OSSE-Based Evaluation of Hybrid Variational–Ensemble Data Assimilation for the NCEP GFS. Part II: 4DEnVar and Hybrid Variants. Monthly Weather Review 143:2, pages 452-470.
Crossref
Z. Peng, M. Zhang, X. Kou, X. Tian & X. Ma. (2015) A regional carbon data assimilation system and its preliminary evaluation in East Asia. Atmospheric Chemistry and Physics 15:2, pages 1087-1104.
Crossref
X. Tian, Z. Xie, Y. Liu, Z. Cai, Y. Fu, H. Zhang & L. Feng. (2014) A joint data assimilation system (Tan-Tracker) to simultaneously estimate surface CO<sub>2</sub> fluxes and 3-D atmospheric CO<sub>2</sub> concentrations from observations. Atmospheric Chemistry and Physics 14:23, pages 13281-13293.
Crossref
Zhiwei Jiang, Zhongxin Chen, Jin Chen, Jia Liu, Jianqiang Ren, Zongnan Li, Liang Sun & He Li. (2014) Application of Crop Model Data Assimilation With a Particle Filter for Estimating Regional Winter Wheat Yields. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 7:11, pages 4422-4431.
Crossref
Zhekun Huang, Zhen Peng, Hongnian Liu, Meigen Zhang, Xiaoguang Ma, Shu-Chih Yang, Sang-Deok Lee & Seung-Yeon Kim. (2014) Development of CMAQ for East Asia CO2 data assimilation under an EnKF framework: a first result. Chinese Science Bulletin 59:25, pages 3200-3208.
Crossref
Z. Peng, M. Zhang, X. Kou, X. Tian & X. Ma. (2014) A regional carbon flux data assimilation system and its preliminary evaluation in East Asia. Atmospheric Chemistry and Physics Discussions 14:14, pages 20345-20381.
Crossref
Zhendong LUO & Hong LI. (2014) A pod reduced-order spdmfe extrapolating algorithm for hyperbolic equations. Acta Mathematica Scientia 34:3, pages 872-890.
Crossref
Xiangjun Tian, Zhenghui Xie, Zhaonan Cai, Yi Liu, Yu Fu & Huifang Zhang. (2014) The Chinese carbon cycle data-assimilation system (Tan-Tracker). Chinese Science Bulletin 59:14, pages 1541-1546.
Crossref
Zhiwei Jiang, Zhongxin Chen, Jin Chen, Jianqiang Ren, Zongnan Li & Liang Sun. (2014) The Estimation of Regional Crop Yield Using Ensemble-Based Four-Dimensional Variational Data Assimilation. Remote Sensing 6:4, pages 2664-2681.
Crossref
X. Tian, Z. Xie, Y. Liu, Z. Cai, Y. Fu, H. Zhang & L. Feng. (2013) A joint data assimilation system (Tan-Tracker) to simultaneously estimate surface CO<sub>2</sub> fluxes and 3-D atmospheric CO<sub>2</sub> concentrations from observations. Atmospheric Chemistry and Physics Discussions 13:9, pages 24755-24784.
Crossref
Zhendong LUO, Lei LI & Ping SUN. (2013) A Reduced-Order MFE Formulation Based on POD Method for Parabolic Equations. Acta Mathematica Scientia 33:5, pages 1471-1484.
Crossref
Xiaogu Zheng, Guocan Wu, Shupeng Zhang, Xiao Liang, Yongjiu Dai & Yong Li. (2013) Using analysis state to construct a forecast error covariance matrix in ensemble Kalman filter assimilation. Advances in Atmospheric Sciences 30:5, pages 1303-1312.
Crossref
Hong-ze Leng, Jun-qiang Song, Fu-kang Yin & Xiao-qun Cao. (2013) Notes and correspondence on ensemble-based three-dimensional variational filters. Journal of Zhejiang University SCIENCE C 14:8, pages 634-641.
Crossref
Yulong Bai, Xin Li & Chunlin Huang. (2013) Handling error propagation in sequential data assimilation using an evolutionary strategy. Advances in Atmospheric Sciences 30:4, pages 1096-1105.
Crossref
Yingying Dong, Jihua Wang, Cunjun Li, Guijun Yang, Qian Wang, Feng Liu, Jinling Zhao, Huifang Wang & Wenjiang Huang. (2013) Comparison and Analysis of Data Assimilation Algorithms for Predicting the Leaf Area Index of Crop Canopies. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 6:1, pages 188-201.
Crossref
Hongze Leng, Junqiang Song, Fengshun Lu & Xiaoqun Cao. (2013) A New Data Assimilation Scheme: The Space-Expanded Ensemble Localization Kalman Filter. Advances in Meteorology 2013, pages 1-6.
Crossref
Xiaoduo Pan, Xiangjun Tian, Xin Li, Zhenghui Xie, Aimei Shao & Chunyan Lu. (2012) Assimilating Doppler radar radial velocity and reflectivity observations in the weather research and forecasting model by a proper orthogonal-decomposition-based ensemble, three-dimensional variational assimilation method. Journal of Geophysical Research: Atmospheres 117:D17, pages n/a-n/a.
Crossref
Carolina Introini, Stefano Riva, Stefano Lorenzi, Simone Cavalleri & Antonio Cammi. (2022) Non-Intrusive System State Reconstruction from Indirect Measurements: A Novel Approach Based on Hybrid Data Assimilation Methods. SSRN Electronic Journal.
Crossref