Regulations on the Administration of Marine Observation and Forecasting[S]. 2012.[海洋观测预报管理条例[S]. 2012.]
[2]
A, Brassington G B. Operational Oceanography in the 21st Century[M]. Netherland: Springer, 2011.
[3]
O M, Hurlburt H E, Metzger E J, et al. An operational eddy resolving 1/16 global ocean nowcast/forecast system[J]. Journal of Marine Systems, 2003, 40: 341-361.
[4]
Binjian. Chinese Global Operational Oceanography Forecasting System is Officially Issued[N]. China Ocean News, 2013-10-18.[张斌键. 全球业务化海洋学预报系统正式运行[N]. 中国海洋报, 2013-10-18.]
[5]
Hui. Operational Oceanography Forecasting System in Developing Countries[R]. GODAE Ocean View Symposium 2013, Baltimore, Maryland, 2013.
[6]
N, Parent L, Garric G, et al. Mercator global eddy permitting ocean reanalysis GLORYS1V1: Description and results[J]. Mercator Quarterly Newsletter, 2010, 36: 15-27.
[7]
Ruiqiang, Li Jianping. Comparison of the influences of initial error and model parameter error on the predictability of numerical forecast[J]. Chinese Journal of Geophysics, 2008, 51: 1 007-1 012.[丁瑞强, 李建平. 初始误差和参数误差对混沌系统可预报性影响的比较[J]. 地球物理学报, 2008, 51: 1 007-1 012.]
[8]
Mu, Chen Boyu, Zhou Feifan, et al. Methods and uncertainties of meteorological forecast[J]. Meteorological Monthly, 2011, 37: 1-13.[穆穆, 陈博宇, 周菲凡, 等. 气象预报的方法与不确定性[J]. 气象, 2011, 37: 1-13.]
[9]
P F J. Uncertainty estimation and prediction for interdisciplinary ocean dynamics[J]. Journal of Computational Physics, 2006, 217: 176-199.
[10]
Wenping, Feng Guolin, Dong Wenjie, et al. On the predictability of the Lorenz system[J]. Acta Physica Sinica, 2006, 55: 969-977.[何文平, 封国林, 董文杰, 等. Lorenz系统的可预报性[J]. 物理学报, 2006, 55: 969-977.]
[11]
T N. Predicting uncertainty in forecasts of weather and climate[J]. Reports on Progress in Physics, 2000, 63: 71-116.
[12]
J. Uncertainty and Ensemble Forecast[J]. NOAA/NWS Science and Technology Infusion Lecture Series, 2007, http:∥www.nws.noaa.gov/ost/climate/STIP/Collections.htm.
[13]
J, Tracton M S. Impact of lateral boundary conditions on regional-model ensemble prediction[R]∥Research Activities in Atmospheric and Oceanic Modeling, Report 28. CAS/JSC Working Group Numerical Experimentation (WGNE), 1999.
[14]
M S, Du J. Short-Range Ensemble Forecasting (SREF) at the National Centers for Environmental Prediction[R]. WMO Ensemble Expert Meeting, 2001.
[15]
I V, Sarachik E S. On reducing errors in temperature and salinity in an ocean model forced by restoring boundary conditions[J]. Journal of Physical Oceanography, 2004, 34: 1 856-1 869.
[16]
W G, Danabasoglu G, Doney S C, et al. Sensitivity to surface forcing and boundary layer mixing in a global ocean model: Annual-mean climatology[J]. Journal of Physical Oceanography, 1997, 27: 2 418-2 447.
[17]
Qiuliang, Zhang Lifeng, Guan Jiping. Impact of initial and SST forcing on temporal and spatial distribution of extended-range predictability[J]. Chinese Journal of Geophysics, 2013, 56: 3 988-3 998.[王秋良, 张立凤, 关吉平. 初值和海温强迫对延伸期可预报性时空分布的影响[J]. 地球物理学报, 2013, 56: 3 988-3 998.]
[18]
Mu. Methods, current status, and prospect of targeted observation[J]. Science in China(Series D), 2013, 43: 1 717-1 725.[穆穆. 目标观测的方法、现状与发展展望[J]. 中国科学: D辑, 2013, 43: 1 717-1 725.]
[19]
Y, Mu M, Duan W, et al. Contribution of the location and spatial pattern of initial error to uncertainties in El Nio predictions[J]. Journal of Geophysical Research-Ocean, 2012, 117: C06018, doi:10.1029/2011JC007758.
[20]
Y, Mu M, Duan W. Does model parameter error cause a significant spring predictability barrier for El Nio events in the Zebiak-Cane model?[J]. Journal of Climate, 2012, 25: 1 263-1 277.
[21]
A M, Kleeman R. The dynamics of error growth and predictability in a coupled model of ENSO[J]. Quarterly Journal of the Royal Meteorological Society, 1996, 122(534): 1 405-1 446.
[22]
W, Mu M, Wang B. Conditional nonlinear optimal penturbation as the optimal precursors for ENSO events[J]. Journal of Geophysical Research, 2004, 109(D23): 4 756-4 768.
[23]
A R, Haley P J, Lermusiaux P F J, et al. Predictive skill, predictive capability and predictability in ocean forecasting[C]\\ Proceedings of "The OCEANS 2002 MTS/IEEE" Conference. Holland Publications, 2002.
[24]
Jianping, Ding Ruiqiang, Chen Baohua. Review and Prospect on the Predictability Study of the Atmosphere[C]. Beijing: China Meteorological Press, 2006: 96-103.[李建平, 丁瑞强, 陈宝花. 大气可预报性研究的回顾与展望[C]. 北京: 气象出版社, 2006: 96-103.]
[25]
Zhen. Some Applications of the Nonlinear Local Lyapunov Exponent Approach[D].Beijing: Institute of Atmospheric Physics, Chinese Academy of Sciences, 2012.[史珍. 非线性局部Lyapunov指数方法的若干应用[D]. 北京：中国科学院大气物理研究所, 2012.]
[26]
C. The standard error of time-average estimates of climatic means[J]. Journal of Applied Meteorology, 1973, 12: 1 066-1 069.
[27]
W F, Miyakoda K. Feasibility of seasonal forecasts inferred from multiple[J]. Tellus, 1995, 21: 289-307.
[28]
K E. Potential predictability of geopotential heights over the southern hemisphere[J]. Monthly Weather Review, 1984, 113: 54-64.
[29]
X Q, Anderson J L, Stern W F. Reproducible forced modes in AGCM ensemble integrations and potential predictability of atmospheric seasonal variations in the extratropics[J]. Journal of Climate, 1998, 11: 2 942-2 959.
[30]
E N. The predictability of a flow which possesses many scales of motion[J]. Tellus, 1969, 21: 289-307.
[31]
Mu, Li Jianping, Chou Jifan, et al. Theoretical research on the predictability of climate system[J]. Climatic and Environmental Research, 2002, 7: 227-235.[穆穆, 李建平, 丑纪范, 等. 气候系统可预报性理论研究[J]. 气候与环境研究, 2002, 7: 227-235.]
[32]
Yongzhu, Shen Xueshun, Li Xiaoli. Research on the singular vector perturbation of the GRAPES global model based on the total energy norm[J]. Acta Meteorologica Sinica, 2013, 71: 517-526.[刘永柱, 沈学顺, 李晓莉. 基于总能量模的GRAPES全球模式奇异向量扰动研究[J]. 气象学报, 2013, 71: 517-526.]
[33]
M. Predicting the uncertainty of numefical weather forecasts：A review[J]. Meteorologische Zeitschrift, 1997, 6: 147-183.
[34]
R, Gelaro R, Molteni F, et al. The impact of increased resolution on predictability studies with singular vectors[J]. Quarterly Journal of the Royal Meteorological Society, 1997, 123(543): 1 007-1 033.
[35]
R, Miller M, Palmer T N. Stochastic representation of model uncertainties in the ECMWF ensemble prediction system[J]. Quarterly Journal of the Royal Meteorological Society, 1999, 125: 2 887-2 908.
[36]
Feng. Advances in researches and applications of ensemble prediction with initial perturbation[J]. Science and Technology Review, 2008, 26: 90-95.[郑峰. 集合预报初值扰动在天气预报中的应用研究进展[J]. 科技导报, 2008, 26: 90-95.]
[37]
Y Q, Battisti D S, Palmer T N, et al. A study of the predictability of Tropical Pacific SST in a coupled atmosphere-ocean model using singular vector analysis: The role of the annual cycle and the ENSO cycle[J]. Monthly Weather Review, 1997, 125: 831-845.
[38]
Y, Cane M A, Zebiak S E, et al. Predictability of a coupled model of ENSO using singular vector analysis. Part I: Optimal growth in seasonal background and ENSO cycles[J]. Monthly Weather Review, 1997, 125: 2 043-2 056.
[39]
Y, Cane M, Zebiak S, et al. Predictability of a coupled model of ENSO using singular vector analysis. Part II: Optimal growth and forecast skill[J]. Monthly Weather Review, 1997, 125: 2 057-2 073.
[40]
C J. Initial conditions for optimal growth in a coupled ocean-atmosphere model of ENSO[J]. Journal of the Atmospheric Sciences, 1998, 55: 537-557.
[41]
R M, Tziperman E. Instability of the chaotic ENSO: The growth-phase predictability barrier[J]. Journal of the Atmospheric Sciences, 2001, 58: 3 613-3 625.
[42]
C. Covariances and linear predictability of the Atlantic Ocean[J]. Deep Sea Research Part II: Topical Studies in Oceanography, 2013, 85: 228-243.
[43]
L, Heimbach P, Moore A, et al. Upper-ocean singular vectors of the North Atlantic climate with implications for linear predictability and variability[J]. Quarterly Journal of the Royal Meteorological Society, 2012, 138: 500-513.
[44]
M, Duan W, Wang B. Conditional nonlinear optimal perturbation and its application[J]. Nonlinear Processes in Geophysics, 2003, 10: 493-501.
[45]
W, Mu M. Conditional nonlinear optimal perturbation: Applications to stability, sensitivity, and predictability[J]. Science in China (Series D), 2009, 52(7): 884-906.
[46]
M, Duan W, Wang B. Season-dependent dynamics of nolinear optimal error growth and El Nio-Southern Oscillation predictability in a theoretical model[J]. Journal of Geophysical Research, 2007, 112: D10113, doi:10.1029/2005JD006981.
[47]
M, Xu H, Duan W. A kind of initial errors related to “spring predictability barrier” for El Niño events in Zebiak-Cane model[J]. Journal of Geophysical Research, 2007, 234: L03709, doi:10.1029/2006GL027412.
[48]
Q, Mu M, Dijkstra H A. Application of the conditional nonlinear optimal perturbation method to the predictability study of the Kuroshio large meander[J]. Advances in Atmospheric Sciences, 2012, 29(1): 118-134.
[49]
M, Sun L, Henk D A. The sensitivity and stability of the ocean’s thermocline circulation to finite amplitude freshwater perturbations[J]. Journal of Physical Oceanography, 2004, 34: 2 305-2 315.
[50]
X G, Mu M. Impact of horizontal diffusion on the nonlinear stability of thermohaline circulation in a modified box model[J]. Journal of Physical Oceanography, 2009, 29: 798-805.
[51]
Ziqing. On the Physics of Multidecadal Variability of North Atlantic Meridional Overturning Circulation[D].Beijing: Institute of Atmospheric Physics, Chinese Academy of Sciences, 2013.[祖子清. 北大西洋经圈翻转环流的多年代际变化研究[D].北京：中国科学院大气物理研究所, 2013.]
[52]
Z, Mu M, Dijkstra H A. Optimal nonlinear excitation of decadal variability of the North Atlantic thermohaline circulation[J]. Chinese Journal of Oceanology and Limnology, 2013, 31: 1 356-1 362.
[53]
Z, Mu M, Dijkstra H A. Three-dimensional structure of optimal nonlinear excitation for decadal variability of the thermohaline circulation[J]. Atmospheric and Oceanic Science Letters, 2013, 6: 410-416.
[54]
X H, Mu M. A study on the reduction of forecast error variance by three adaptive observation approaches for tropical cyclone prediction[J]. Monthly Weather Review, 2011, 139: 2 218-2 232.
[55]
Z, Kalney E. Ensemble forecasting at NCEP and the breed method[J]. Monthly Weather Review, 1997, 125: 3 297-3 319.
[56]
S C, Keppenne C, Rienecker M, et al. Application of coupled bred vectors to seasonal-to-interannual forecasting and ocean data assimilation[J]. Journal of Climate, 2009, 22: 2 850-2 870.
[57]
T J, Oke P R, Sandery P A. Predicting the East Australian current[J]. Ocean Modelling, 2011, 38: 251-266.
[58]
X Q, Oey L Y. Bred-ensemble ocean forecast of Loop Current and rings[J]. Ocean Modelling, 2007, 17: 300-326.
[59]
M, Kalnay E, Toth Z. Bred vectors of the Zebiak-Cane model and their potential application to ENSO predictions[J]. Journal of Climate, 2003, 16: 40-55.
[60]
Y, Kirtman B, Schopf P. Decadal North Pacific bred vectors in a coupled GCM[J]. Journal of Climate, 2007, 20: 5 744-5 764.
[61]
S-C, Cai M, Kalnay E, et al. ENSO bred vectors in coupled ocean-atmosphere general circulation models[J]. Journal of Climate, 2006, 19: 1 422-1 436.
[62]
Wansuo, Ding Ruiqiang, Zhou Feifan. Several dynamical methods used in predictability studies for numerical weather forecasts and climate prediction[J]. Climatic and Environmental Research, 2013, 18(4): 524-538.[段晚锁, 丁瑞强, 周菲凡. 数值天气预报和气候预测可预报性研究的若干动力学方法[J]. 气候与环境研究, 2013, 18(4): 524-538.]
[63]
E S. Stochastic dynamic prediction[J]. Tellus, 1969, 21(6): 739-759.
[64]
C. Theoretical skill of monte carlo forecasts(stochastic atmospheric processes)[J]. Monthly Weather Review, 1974, 102(6): 409-418.
[65]
E. Atmospheric Modeling, Data Assimilation, and Predictability[M]. New York: Cambridge University Press, 2003.
[66]
Xuesheng, Chen Dehui, Leng Tingbo, et al. The comparison experiments of SV and LAF initial pertubation techniques used at the NMC ensemble prediction system[J]. Journal of Applied Meteorological Science, 2002, 13: 62-66.[杨学胜, 陈德辉, 冷亭波, 等. 时间滞后与奇异向量初值生成方法的比较试验[J]. 应用气象学报, 2002, 13: 62-66.]
[67]
R, Palmer T N. Impact of ensemble size on ensemble prediction[J]. Monthly Weather Review, 1998, 126(9): 2 503-2 518.
[68]
R F, Bonazzi A, Wikle C K, et al. Ocean ensemble forecasting. Part I: Ensemble Mediterranean winds from a Bayesian hierarchical model[J]. Quarterly Journal of the Royal Meteorological Society, 2011, 137: 858-878.
[69]
N, Bonazzi A, Dobricic S, et al. Ocean ensemble forecasting. Part II: Mediterranean forecast system response[J]. Quarterly Journal of the Royal Meteorological Society, 2011, 137: 879-893.
[70]
A, Doblas-Reyes F J, Palmer T N, et al. ENSEMBLES: A new multi-model ensemble for seasonal-to-annual predictions—Skill and progress beyond DEMETER in forecasting tropical Pacific SSTs[J]. Geophysical Research Letters, 2009, 36: L21711, doi:10.1029/2009GL040896.
[71]
S L, Du J, Sanders F. The dependence of ensemble dispersion on analysis forecast system implications to shortrange ensemble forecasting of precipitation[J]. Monthly Weather Review, 1999, 127: 1 674-1 686.
[72]
D J, Bao J-W, Warner T T. Using initial condition and model physics perturbations in short-range ensemble simulations of mesoscale convective systems[J]. Monthly Weather Review, 2000, 128(7): 2 077-2 107.
[73]
R. Potential forecast skill of ensemble prediction and spread and skill distributions of the ECMWF ensemble prediction system[J]. Monthly Weather Review, 1997, 125: 99-119.
[74]
I, Caniaux G, Gavart M, et al. Assessing ocean-model sensitivity to wind forcing uncertainties[J]. Geophysical Research Letters, 2002, 29(18): 1 858-1 862.
[75]
F, Marsaleix P, De Mey P. Space-time structure and dynamics of the forecast error in a coastal circulation model of the Gulf of Lions[J]. Dynamics of Atmospheres and Oceans, 2003, 36: 309-346.
[76]
T N. Extended-range atmospheric prediction and the Lorenz model[J]. Bulletin of the American Meteorological Society, 1993, 74(1): 49-65.
[77]
K R, Evans R E, Clark R T. Multi-model multi-analysis ensembles in quasi-operational medium-range forecasting[J]. Quarterly Journal of the Royal Meteorological Society, 2002, 128(579): 361-384.
[78]
P, Derome J. Methods for ensemble prediction[J]. Monthly Weather Review, 1995, 123(7): 2 181-2 196.
[79]
F, Buizza R, Palmer T N, et al. The new ECMWF ensemble prediction system: Methodology and validation[J]. Quarterly Journal of the Royal Meteorological Society, 1996, 122: 73-119.
[80]
Zechun, Chen Dehui. The development and application of the operational ensemble prediction system at national meteorological center[J]. Journal of Applied Meteorological Science, 2002, 13: 1-15.[李泽椿, 陈德辉. 国家气象中心集合预报数值业务系统的发展及应用[J]. 应用气象学报, 2002, 13: 1-15.]
[81]
Hengqing, Chen Yi, Chen Dehui. The development of ensemble products based on the Shenwei medium-range ensemble prediction system[J]. Journal of Applied Meteorological Science, 2002, 13: 47-55.[毛恒青, 陈谊, 陈德辉. 基于神威中期集合数值预报系统的产品开发[J]. 应用气象学报, 2002, 13: 47-55.]
[82]
N, Robinson A R. Dynamics of deep thermocline jets in the polymode region[J]. Journal of Physical Oceanography, 1987, 17: 1 163-1 188.
[83]
Y, Yamane S, Guo X, et al. Ensemble forecast of the Kuroshio meandering[J]. Journal of Geophysical Research, 2005, 110: C10026, doi:10.1029/2004JC002426.
[84]
N, Bonazzi A, Scoccimarro E, et al. Very large ensemble ocean forecasting experiment using the grid computing infrastructure[J]. Bulletin of the American Meteorological Society, 2008, 89: 799-804.
[85]
F, Bertino L. High-resolution ensemble forecasting for the Gulf of Mexico eddies and fronts[J]. Ocean Dynamics, 2009, 59: 83-95.
[86]
Fei, Wang Hui, Zhu Jiang. ENSO ensemble prediction: Initial error perturbations vs. model error perturbations[J]. Chinese Science Bulletin, 2009, 54: 2 395-2 401.[郑飞, 王慧, 朱江. 初始误差和模式误差对ENSO集合预报的影响[J]. 科学通报, 2009, 54: 2 395-2 401.]
[87]
Fei, Zhu Jiang, Wang Hui. The verifications for ENSO ensemble prediction system[J]. Climatic and Environmental Research, 2007, 12: 587-594.[郑飞, 朱江, 王慧. ENSO 集合预报系统的检验评价[J]. 气候与环境研究, 2007, 12: 587-594.]
[88]
R F, Freilich M H, Liu W T, et al. Global Ocean Surface Wind Vector Observations from Space: In Observing the Oceans in the 21st Century[M]. Melbourne: GODAE Project Office and Bureau of Meteorology, 2001.
[89]
R F, Large W G, Morzel J, et al. Ocean general circulation model sensitivity to forcing from scatterometer winds[J]. Journal of Geophysical Research, 1999, 104: 11 337-11 358.
[90]
M, Doglioli A M, Petrenko A A. Sensitivity study of wind forcing in a numerical model of mesoscale eddies in the lee of Hawaii Islands[J]. Ocean Science Discussion, 2010, 7: 477-500.
[91]
M, Ayoub N, Penduff T, et al. Stochastic study of the temperature response of the upper ocean to uncertainties in the atmospheric forcing in an Atlantic OGCM[J]. Ocean Modelling, 2008, 20: 90-113.
[92]
A, Counillon F, LaCasce J H, et al. Forecasting search areas using ensemble ocean circulation modeling[J]. Ocean Dynamics, 2012, 62: 1 245-1 257.
[93]
Xiang, Dong Jianxi, Ma Jingguang, et al. Analysis and numerical simulation of the storm surge caused by Typhoon “Hagupit”[J]. Marine Forecasts, 2009, 26: 68-75.[付翔, 董剑希, 马经广, 等. 0814号强台风“黑格比”风暴潮分析与数值模拟[J]. 海洋预报, 2009, 26: 68-75.]
[94]
C, Swinbank R. Medium-range multimodel ensemble combination and calibration[J]. Quarterly Journal of the Royal Meteorological Society, 2009, 135: 777-794.
[95]
T N, Kishtawal C M, LaRow T, et al. Improved weather and seasonal climate forecasts from multimodel superensemble[J]. Science, 1999, 285: 1 548-1 550.
[96]
T V, Krishnamurti T N, Fiorino M, et al. Multimodel superensemble forecasting of tropical cyclones in the Pacific[J]. Monthly Weather Review, 2003, 131: 574-583.
[97]
Xiefei, Lin Chunze, Bai Yongqing, et al. Superensemble forecasts of the surface temperature in Northern Hemispheremiddle latitudes[J]. Scientia Meteorologica Sinica, 2009, 29: 569-574.[智协飞, 林春泽, 白永清, 等. 北半球中纬度地区地面气温的超级集合预报[J]. 气象科学, 2009, 29: 569-574.]
[98]
Chaohui, Li Chongyin, Tan Yanke, et al. Research of the multi-model super-ensemble prediction based on crossvalidation[J]. Acta Meteorologica Sinica, 2010, 68: 464-476.[陈超辉, 李崇银, 谭言科, 等. 基于交叉验证的多模式超级集合预报方法研究[J]. 气象学报, 2010, 68: 464-476.]
[99]
Mingkeng, Wang Panxing. A new weighted average method on ensemble mean forecasting[J]. Journal of Applied Meteorological Science, 2006, 17: 488-493.[段明铿, 王盘兴. 一种新的集合预报权重平均方法[J]. 应用气象学报, 2006, 17: 488-493.]
[100]
P L, Lefaivre L, Derome J, et al. A system simulation approach to ensemble prediction[J]. Monthly Weather Review, 1996, 124: 1 225-1 242.
[101]
T P, Graham N, Pazan S, et al. ENSO and ENSO-related predictability. Part I: Prediction of equatorial Pacific sea surface temperature with a hybrid coupled ocean-atmosphere model[J]. Journal of Climate, 1993, 6: 1 545-1 566.
[102]
D W, Ji M, Leetmaa A. An improved coupled model for ENSO prediction and implications for ocean initialization. Part I: The ocean data assimilation system[J]. Monthly Weather Review, 1998, 126: 1 013-1 021.
[103]
G A, Goddard L, Murphy J, et al. Decadal prediction: Can it be skillful?[J]. Bulletin of the American Meteorological Society, 2009, 90: 1 467-1 485.
[104]
V, Meehl G A, Goddard L, et al. Decadal climate predictability and prediction: Where are we?[J]. Bulletin of the American Meteorological Society, 2011, 92: 141-156.
[105]
E N. Deterministic nonperiodic flow[J]. Journal of the Atmospheric Sciences, 1963, 20: 130-141.
[106]
Wansuo, Mu Mu. Applications of nonlinear optimization method to the numerical studies of atmospheric and oceanic sciences[J]. Applied Mathematics and Mechanics, 2005, 26: 585-594.[段晚锁, 穆穆. 非线性优化方法在大气和海洋科学数值研究中的若干应用[J]. 应用数学和力学, 2005, 26: 585-594.]
[107]
C N. Coastal Ocean Prediction[M]. Washington DC: American Geophysical Union, 1999: 523.
[108]
N, Woods J. Ocean Forecasting: Conceptual Basis and Applications[M]. New York: Springer Verlag, 2002: 472.
[109]
M, Duan W, Chou J. Recent advances in predictability studies in China (1999-2002)[J]. Advances in Atmospheric Sciences, 2004, 21(3): 437-443.
[110]
P F J, Chiu C-S, Gawarkiewicz G G, et al. Quantifying uncertainties in ocean predictions[J]. Oceanography, 2006, 19: 92-105.
[111]
M, Duan W, Wang J. The predictability problems in numerical weather and climate prediction[J]. Advances in Atmospheric Sciences, 2002, 19: 191-204.
[112]
E N. Climate Predictability: The Physical Basis of Climate Modelling[M]. Geneva: World Meteorological Organisation, 1975: 132-136.
[113]
X H, Mu M. Influence of conditional nonlinear optimal perturbations sensitivity on typhoon track forecasts[J]. Quarterly Journal of the Royal Meteorological Society, 2011, 138: 185-197.
[114]
B, Tan X. A fast algorithm for solving CNOP and associated target observation tests[J]. Acta Meteorologica Sinica, 2009, 23: 387-402.
[115]
F, Mu M. The impact of verification area design on tropical cyclone targeted observations based on the CNOP method[J]. Advances in Atmospheric Sciences, 2011, 28: 997-1 010.
[116]
M, Duan W, Wang Q, et al. An extension of conditional nonlinear optimal perturbation approach and its applications[J]. Nonlinear Processes in Geophysics, 2010, 17: 211-220.
[117]
K. Estimating the dimensions of weather and climate attractors[J]. Journal of the Atmospheric Sciences, 1986, 43: 419-432.
[118]
K. Estimating weather and climate predictability on attractors[J]. Journal of the Atmospheric Sciences, 1987, 44: 722-728.
[119]
E. Local Lyapunov exponents of the quasi-geostrophic ocean dynamics[J]. Applied Mathematics and Computation, 1999, 104: 217-257.
[120]
S, Nomura M. Finite-time Lyapunov stability analysis and its application to atmospheric predictability[J]. Journal of the Atmospheric Sciences, 1993, 50: 1 531-1 543.
[121]
C, Smith L A, Kurths J. Localized Lyapunov exponents and the prediction of predictability[J]. Physics Letters A, 2000, 271: 237-251.
[122]
Ruiqiang, Li Jianping. Nonlinear error dynamics and predictability study[J]. Chinese Journal of Atmospheric Science, 2007, 31: 571-576.[丁瑞强, 李建平. 误差非线性的增长理论及可预报性研究[J]. 大气科学, 2007, 31: 571-576.]
[123]
A H. Lyapunov exponents of a simple stochastic model of the thermally and wind-driven ocean circulation[J]. Dynamics of Atmospheres and Oceans, 2002, 35: 363-388.
[124]
F, Isern-Fontanet J, López C, et al. Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin[J]. Deep Sea Research Part I: Oceanographic Research Papers, 2009, 56: 15-31.
[125]
C L, Nicolis C. Global properties and local structure of the weather attractor over western Europe[J]. Journal of the Atmospheric Sciences, 1989, 46: 2 356-2 370.
[126]
Zuguang, Liu Shida. Estimating weather predictability from the time series of weather variables[J]. Acta Meteorologica Sinica, 1992, 50: 72-80.[郑祖光, 刘式达. 用天气变量时间序列估计天气的可预报性[J]. 气象学报, 1992, 50: 72-80.]
[127]
J F, Talagrand O. Short-range evolution of small perturbations in a baratropic model[J]. Tellus, 1988, 40A: 81-95.
[128]
M. Nonlinear singular vectors and nonlinear singular values[J]. Science in China(Series D), 2000, 43: 375-385.
[129]
J, Wang S. Some mathematical and numerical issues in geophysical fluid dynamics and climate dynamics[J]. Communications in Computational Physics, 2008, 3: 759-793.
[130]
Ruiqiang, Li Jianping. Study on the regularity of predictability limit of chaotic systems with diferent initial errors[J]. Acta Physica Sinica, 2008, 57: 7 494-7 499.[丁瑞强, 李建平. 混沌系统可预报期限随初始误差变化规律研究[J]. 物理学报, 2008, 57: 7 494-7 499.]
[131]
R, Li J. Nonlinear finite-time Lyapunov exponent and predictability[J]. Physics Letters A, 2007, 364: 396-400.
[132]
Ruiqiang, Li Jianping. Application of nonlinear error growth dynamics in studies of atmospheric predictability[J]. Acta Meteorologica Sinica, 2009, 67: 241-249.[丁瑞强, 李建平. 非线性误差增长理论在大气可预报性中的应用[J]. 气象学报, 2009, 67: 241-249.]
[133]
J, Ding R. Temporal-spatial distribution of atmospheric predictability limit by local dynamical analogues[J]. Monthly Weather Review, 2011, 139: 3 265-3 283.
[134]
J, Ding R. Temporal-spatial distribution of the predictability limit of monthly sea surface temperature in the global oceans[J]. International Journal of Climatology, 2013, 33: 1 936-1 947.
[135]
Z, Kalnay E. Ensemble forecasting at NMC: The generation of perturbations[J]. Bulletin of the American Meteorological Society, 1993, 74: 2 317-2 330.
