(1) Xiangjun Tian; Hongqin Zhang^*; A big data‐driven nonlinear least squares four‐dimensional variational data assimilation method: Theoretical formulation and conceptual evaluation, Earth and Space Science, 2019, 6(1):1-10.

(2) Xiangjun Tian^*; Hongqin Zhang; Xiaobing Feng; Yuanfu Xie; Nonlinear least squares En4DVar to 4DEnVar methods for data Assimilation: Formulation, analysis, and preliminary evaluation, Monthly Weather Review, 2018, 146(1):77-93.

(3) Xiangjun Tian^*; Xiaobing Feng; An adjoint-free CNOP–4DVar hybrid method for identifying sensitive areas in targeted observations: Method formulation and preliminary evaluation, Adv. Atmos. Sci., 2019, 36(7): 721-732.

(4) Hongqin Zhang; Xiangjun Tian^*; 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, 2018, 123(10): 5116-5129.

(5) Xiangjun Tian^*; Xiaobing Feng; A nonlinear least-squares-based ensemble method with a penalty strategy for computing the conditional nonlinear optimal perturbations, Q. J. R. Meteorol. Soc., 2017, 143(703): 641-649.

(6) Xiangjun Tian; Hongqin Zhang^*; Implementation of a modied adaptive covariance inflation scheme for the big data-driven NLS-4DVar algorithm, Earth and Space Science, 2019, (6): 1-12.

(7) Shan Zhang; Xiangjun Tian^*; The impacts of modeling global CO2 concentrations with GEOS-Chem using different ocean carbon fluxes, Atmos. Oceanic Sci. Lett., 2019, 12(5): 343-348.

(8) Jiangzhou Xia; Wenping Yuan^*; Sebastian Lienert; Fortunat Joos; Philippe Ciais; Nicolas Viovy; Yingping Wang; Xufeng Wang; Haicheng Zhang; Yang Chen; Xiangjun Tian; Global patterns in net primary production allocation regulated by environmental conditions and forest stand age: A model‐data comparison, Journal of Geophysical Research: Biogeosciences, 2019, 124(7): 2039-2059.

(9) Lu Zhang; Xiangjun Tian*; Hongqin Zhang; Application of multigrid NLS-4DVar in radar radial velocity data assimilation with WRF-ARW, Atmos. Oceanic Sci. Lett., 2019, 12(6): 409-419.

(10) 张珊; 田向军^*; 陈权亮; 韩锐; 张洪芹; 张璐; 不同陆地生态系统碳通量对GEOS-Chem模型模拟全球CO2浓度的影响, 气候与环境研究, 2019, 24(5): 552-566.

(11) Hongqin Zhang; Xiangjun Tian^*; An efcient local correlation matrix decomposition approach for the localization implementation of ensemble-based assimilation methods, Journal of Geophysical Research: Atmospheres, 2018, 123(7): 3556-3573.

(12) Rui Ma; Li Zhang^*; Xiangjun Tian; Jiancai Zhang; Wenping Yuan; Yi Zheng; Xiang Zhao; Tomomichi Kato; Assimilation of remotely-sensed leaf area index into a dynamic vegetation model for gross primary productivity estimation, Remote Sens., 2017, 9(3): 188.

(13) Xingxia Kou; Xiangjun Tian; Meigen Zhang^*; Zhen Peng; Xiaoling Zhang; A ccounting for CO2 variability over East Asia with a regional joint inversion system and its preliminary evaluation, J. Meteor. Res., 2017, 31(5): 834-851.

(14) Bin Zhang; Xiangjun Tian^*; Lifeng Zhang; Jianhua Sun; Handling non-linearity in radar data assimilation using the non-linear least squares enhanced POD-4DVar, Science China Earth Sciences, 2017, 60(3): 478-490.

(15) 张斌; 田向军^*; 张立凤; 孙建华; 基于 NLS-4DVar方法的雷达资料同化及其在暴雨预报中的应用, 大气科学, 2017, 41(2): 321-332.

(16) Xiangjun Tian^*; Xiaobing Feng; Hongqin Zhang; Bin Zhang; Rui Han; An enhanced ensemble-based method for computing CNOPs using an efficient localization implementation scheme and a two-step optimization strategy: Formulation and preliminary tests, Q. J. R. Meteorol. Soc., 2016, 142(695):1007-1016.

(17) 居为民^*; 方红亮; 田向军; 江飞; 占文凤; 刘洋; 王正兴; 何剑锋; 王绍强; 彭书时; 张永光; 周艳莲; 贾炳浩; 杨东旭; 符瑜; 李荣; 柳竟先; 王海鲲; 李贵才; 陈卓奇; 基于多源卫星遥感的高分辨率全球碳同化系统研究, 地球科学进展, 2016, 31(11): 1105-1110.

(18) 张洪芹; 田向军^*; 张承明; 非线性集合四维变分同化方法NLS-4DVar之局地化改进, 中国海洋大学学报, 2016, 46(10): 010-015.

(19) Hongqin Zhang; Xiangjun Tian^*; Chengming Zhang; An economical approach to flow-adaptive moderation of spurious ensemble correlations and its application in the proper orthogonal decomposition-based ensemble four-dimensional variational assimilation method, Atmos. Oceanic Sci. Lett., 2015, 8(5): 320-325.

(20) Xiangjun Tian^*; Xiaobing Feng; A non-linear least squares enhanced POD-4DVar algorithm for data assimilation, Tellus A, 2015, 67(1): 25340.

(21) Xiangjun Tian^*; A local implementation of the POD-based ensemble 4DVar with R-localization, Atmos. Oceanic Sci. Lett., 2015, 7(1): 11-16.

(22) Jiangnan Wang; Xiangjun Tian^*; Yu Fu; Model simulated atmospheric carbon dioxide: Comparisons with satellite retrievals and ground-based observations, Atmos. Oceanic Sci. Lett., 2015, 7(6): 481-486.

(23) Zhen Peng^*; Meigen Zhang; Xingxia Kou; Xiangjun Tian; Xiaoxing Ma; A regional carbon data assimilation system and its preliminary evaluation in East Asia, Atmos. Chem. Phys., 2015, 15(2): 1087-1104.

(24) Bin Zhang; Xiangjun Tian^*; Jianhua Sun; Feng Chen; Yuanchun Zhang; Lifeng Zhang; Shenming Fu; PODEn4DVar-based radar data assimilation scheme: Formulation and preliminary results from real-data experiments with advanced research WRF (ARW), Tellus A, 2015, 67(1): 26045.

(25) Bin Zhang; Xiangjun Tian^*; Jianhua Sun; Feng Chen; Yuanchun Zhang; Lifeng Zhang; Shenming Fu; PODEn4DVar-based radar data assimilation scheme: Formulation and preliminary results from real-data experiments with advanced research WRF (ARW), Tellus A, 2015, 67(1): 26045.

(26) Xiangjun Tian; Zhenghui Xie; Zhaonan Cai^*; Yi Liu; Yu Fu; Huifang Zhang; The Chinese carbon cycle data-assimilation system (Tan-Tracker), Chinese science bulletin, 2014, 59(14): 1541-1546.

(27) Aiwen Wang; Zhenghui Xie^*; Xiaobing Feng; Xiangjun Tian; Peihua Qin; A soil water and heat transfer model including changes in soil frost and thaw fronts, Science China Earth Sciences, 2014, 57(6): 1325-1339.

(28) Qin Sun; Zhenghui Xie^*; Xiangjun Tian; GRACE terrestrial water storage data assimilation based on the ensemble four-dimensional variational method PODEn4DVar: Method and validation, Science China Earth Sciences, 2014, 58(3):371-384.

(29) Binghao Jia; Xiangjun Tian; Zhenghui Xie^*; Jianguo Liu; Chunxiang Shi; Assimilation of microwave brightness temperature in a land data assimilation system with multi-observation operators, Journal of Geophysical Research: Atmospheres, 2013, 118(10): 3972-3985.

(30) Jianguo Liu; Zhenghui Xie^*; Binghao Jia; Xiangjun Tian; Peihua Qin; Jing Zou; Yan Yu; Qin Sun; Yuanyuan Wang; Jinbo Xie; Zhipeng Xie; The long-term field experiment observatory and preliminary analysis of land-atmosphere interactions over Hilly zone in the subtropical Monsoon region of Southern China, Atmos. Oceanic Sci. Lett., 2013, 6(4): 203-209.

(31) Xiaoduo Pan^*; Xiangjun Tian; Xin Li; Zhenghui Xie; Aimei Shao; Chunyan Lu; 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, 2012, 117(D17113).

(32) Xiangjun Tian^*; Zhenghui Xie; Aihui Wang; Xiaochun Yang; A new approach for Bayesian model averaging, Science China Earth Sciences, 2012, 55: 1336-1344.

(33) Xiangjun Tian^*; Zhenghui Xie; Implementations of a square-root ensemble analysis and a hybrid localization into the POD-based ensemble 4DVar, Tellus A, 2012, 64(1): 18375.

(34) Xiangjun Tian^*; Zhenghui Xie; Qin Sun; A POD-based ensemble four dimensional variational assimilation method, Tellus A, 2011, 63(4): 805-816.

(35) 田向军^*; 谢正辉; 王爱慧; 杨晓春; 一种求解贝叶斯模型平均的新方法, 中国科学：地球科学, 2011, 41(11): 1679-1687.

(36) Xiangjun Tian^*; Zhenghui Xie; Aiguo Dai; Binghao Jia; Chunxiang Shi; A microwave land data assimilation system: Scheme and preliminary evaluation over China, Journal of Geophysical Research: Atmospheres , 2010, 115.

(37) Xiangjun Tian^*; Zhenghui Xie; Aiguo Dai; An ensemble conditional nonlinear optimal perturbation approach: Formulation and applications to parameter calibration, Water Resources Research, 2010, 46(9).

(38) Xiangjun Tian^*; Zhenghui Xie; An ensemble-based three-dimensional variational assimilation method for land data assimilation, Atmospheric and Oceanic Science Letters, 2009, 2(3): 125-129.

(39) Binghao Jia; Zhenghui Xie^*; Xiangjun Tian; Chunxiang Shi; A soil moisture assimilation scheme based on ensemble Kalman filter using microwave brightness temperature, Science in China Series D: Earth Sciences, 2009, 52(11): 1835.

(40) Xiangjun Tian^*; Zhenghui Xie; An explicit four-dimensional variational data assimilation method based on the proper orthogonal decomposition: theoretics and evaluation, Science in China Series D: Earth Sciences, 2009, 52(2): 279-286.

(41) Xiangjun Tian^*; Zhenghui Xie; Effects of sample density on the

assimilation performance of an explicit four-dimensional variational data assimilation method, Science in China Series D: Earth Sciences , 2009, 52(11): 1849-1856.

(42) Xiangjun Tian^*; Zhenghui Xie; Aiguo Dai; Chunxiang Shi; Binghao Jia; Feng Chen; Kun Yang; A dual-pass variational data assimilation framework for estimating soil moisture profiles from AMSR-E microwave brightness temperature, Journal of Geophysical Research: Atmospheres, 2009, 114.

(43) 田向军^*; 谢正辉; 基于本征正交分解的显式四维变分同化方法：理论与验证,中国科学：地球科学, 2009, 52(2): 279-286.

(44) 田向军^*; 谢正辉; 考虑次网格变异性和土壤冻融的土壤湿度同化方案, 中国科学:地球科学, 2008, 38(5): 1-9.

(45) Xiangjun Tian^*; Zhenghui Xie; Aiguo Dai; A land surface soil moisture data assimilation system based on the dual-UKF method and the Community Land Model, Journal of Geophysical Research: Atmospheres, 2008, 113.

(46) Xiangjun Tian^*; Zhenghui Xie; A land surface soil moisture data assimilation framework in consideration of the model subgrid-scale heterogeneity and soil water thawing and freezing, Science in China Series D: Earth Sciences, 2008, 38(6): 992-1000.

(47) Xiangjun Tian^*; Zhenghui Xie; Aiguo Dai; An ensemble-based explicit four-dimensional variational assimilation method, Journal of Geophysical Research: Atmospheres , 2008, 113.

(48) Xiangjun Tian^*; Aiguo Dai; Daqing Yang; Zhenghui Xie; Effects of precipitation-bias corrections on surface hydrology over northern latitudes, Journal of Geophysical Research: Atmospheres, 2007, 112.

(49) Xiangjun Tian; Zhenghui Xie^*; Shenglei Zhang; Miaoling Liang; A subsurface runoff parameterization with water storage and recharge based on the Boussinesq-Storage equation for a land surface model, Science in China Series D, 2006, 49(6): 622-631.

(50) 田向军; 谢正辉^*; 张生雷; 粱妙玲; 基于Boussinesq-Storage方程同时考虑水分储存与入渗的地下径流机制, 中国科学：地球科学, 2006, 36(4): 375-384.