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1.
非平稳时间序列的区域预测研究   总被引:1,自引:0,他引:1  
基于重构状态空间理论和嵌入定理,给出一个新的非平稳场时间序列的区域预测方法。该方法将外强迫因子引入到预测模型中,并且将区域内预测相点的周围相点所对应的空间信息也引入到预测模型中。然后利用该方法对33模Lorenz系统得到的"理想"的非平稳场时间序列进行预测实验分析。结果表明,嵌入外强迫因子可以更好地重构出原来的动力系统,有效地提高非平稳时间序列的预测精度;同时引入空间和外强迫信息可以利用空间数据弥补时间序列长度的不足,从而进一步提高预测精度。  相似文献   

2.
支持向量机方法应用于理想时间序列的预测研究   总被引:3,自引:1,他引:2  
简要介绍了基于统计学习理论的支持向量机方法的基本思想和原理,利用该方法对33模Lorenz系统的理想混沌时间序列建立预测模型,并对在此基础上产生的非平稳时间序列进行预测试验研究。结果表明,支持向量机方法不仅对平稳过程有较好的预报能力,也可以适用于非平稳过程,对实际序列的预测有一定的启发意义。  相似文献   

3.
33模Lorenz系统的混沌特征及其可预报性分析   总被引:1,自引:1,他引:1  
简述了33模Lorenz系统的导出及求解过程,并从功率谱、关联维数和Lyapunov指数等三方面验证其33个谱模分量及流场和扰动温度场得到的时空序列具有混沌特性,并对其进行可预报性分析。结果表明,对于混沌系统而言,对其时空序列取平均并不能延长可预报时效。  相似文献   

4.
场时间序列预测方法及其预测能力的试验分析   总被引:4,自引:2,他引:2  
给出场时间序列预测思想的提出及其理论基础,并在此基础上,给出场时间序列预测理论的思路及方法,并针对一个理想混沌时间序列进行预测能力的试验分析.初步结果表明,场时间序列预测方法可以提高单点时间序列的"遍历性",提高预测精度.  相似文献   

5.
作者试图通过滤波以及分区等方法进行预测误差的订正,以便讨论滤波对短期气候预测的影响,在一定意义上,它代表了时空结构的变化对预测结果的影响.通过自然正交展开(EOF)和奇异谱分析(SSA)以及考察空间分辨率的变化,对500hPa月平均高度场进行不同形式的滤波后,利用"场时间序列"预测分析方法进行预测试验,结果表明,预测能力有所提高.另外,对原预测对象进行分区后的预测试验表明,分区有可能改善时空序列的"相容"性,并有利于提高预测精度.  相似文献   

6.
中国北方地区旱涝的年代际预测分析研究   总被引:7,自引:8,他引:7  
基于状态空间重构理论和嵌入定理,给出场时间序列预测模型的建立思路。与单点时间序列预测分析方法相比,场时间序列预测分析方法的优点在于,在寻找吸引子上某个相点的最邻近点及其映象以建立预测模型时,不局限于它自身的时间序列,而是在区域内所有相点的时间序列所构成的整个吸引子上寻找。这样,在一定程度上改进单点时间序列的“遍历性”,以提高预测精度。在此基础上,利用中国北方地区534年旱涝等级资料,对中国北方几个区域年代际尺度的旱涝变化及其极端旱(涝)出现频率进行预测试验分析。  相似文献   

7.
T63模式月动力延伸预报高度场的改进实验   总被引:3,自引:1,他引:2       下载免费PDF全文
为克服T63模式月动力延伸预报中纬向平均环流的系统性误差较大的情形,文章利用NCEP/NCAR逐候再分析500 hPa高度场资料和非线性时空序列预测理论的局域近似法进行逐候纬向平均高度距平场预报.近30组个例的预报效果分析表明,就1~3旬总体而言,非线性时空序列预测方法对纬向平均高度距平场的预报优于持续性预报和模式动力延伸预报,体现了改善纬向平均高度场的能力.尤其是第3旬的预报,当持续性预报偏差与实况偏差明显增大、动力预报技巧相对于第1旬和第2旬降低时,相空间重构结果仍然保持一定的优势.  相似文献   

8.
一种神经网络的云图短时预测方法   总被引:1,自引:0,他引:1  
依据6hT213数值预报产品的资料,采用EOF展开和人工神经网络等方法,对卫星云图短时预报方法进行研究。首先对卫星云图灰度值样本序列进行EOF展开,将提取出来的时间系数作为建模的预报量,以数值预报产品的物理量场作为预报因子,建立人工神经网络预测模型。将预报得到的时间系数与空间特征向量进行时空反演,实现对未来6h云图的预测。预报方法的独立样本试验证明,预测结果与实际云图的主要特征基本吻合,尤其在预测云图的大体分布和发展趋势上得到了较好效果。  相似文献   

9.
基于最小二乘支持向量机的副热带高压预测模型   总被引:3,自引:1,他引:2       下载免费PDF全文
采用EOF时空分解、小波频牢分解和最小二乘支持向量机(LS-SVM)交叉互补方法,建立夏季500 hPa位势高度场的预测模型,用以描绘和表述副热带高压形势场的形态和变化。首先用经验正交函数分解(EOF)方法将NCEP/NCAR再分析资料500 hPa位势高度场序列分解为彼此正交的特征向量及其对应时间系数,随后提取前15个主要特征向龟的时间系数(方差贡献96.2%),采用小波分解方法将其分解为相对简单的带通信号,再利用LS-SVM方法建立各分量信号的预测模型,最后通过小波时频分量重构和EOF时空重构,得到500hPa位势高度场的预测结果以及副热带高压形势场的预测。通过对预测模型的试验情况和分析对比,结果表明:基于上述思想提出的算法模型能较为准确地描述500 hPa位势高度场的形态分布并预测1~7 d的副热带高压活动,对10~15 d的副热带高压活动预测结果也有参考意义。  相似文献   

10.
本文使用北半球500百帕月平均网格点高度场资料。应用预测均方误差MSEPx准则所建立的预测模型,对浙江省北部地区1953—1985年历年梅雨期长度进行预测。结果表明:用MSEPx准则建立的预测模型对异常年份的梅雨期长度进行预测,其预测精度有明显的提高。  相似文献   

11.
月尺度气温可预报性对资料长度的依赖及可信度   总被引:2,自引:2,他引:0       下载免费PDF全文
利用全国518个站1960—2011年逐日气温观测资料和160个站1983—2012年月尺度气温客观预测数据,基于非线性局部Lyapunov指数和非线性误差增长理论,研究中国区域月尺度气温可预报性期限对资料序列长度的依赖性。结果表明:气温可预报性期限对资料序列的长度有一定程度的依赖性,在西北、东北及华中地区尤为明显。平均而言,45年的资料序列长度才能够得到稳定合理的可预报性期限。为了验证气温可预报期限计算结果的可信度,将月尺度气温的可预报性期限与客观气候预测方法的预报评分技巧进行对比,发现两者结果非常一致。其中,由观测资料得到的1月气温的可预报性期限明显低于7月,1月客观气候预测方法的预报评分技巧也明显低于7月,且1月 (7月) 预报评分的空间分布型与1月 (7月) 气温可预报性期限的空间分布型较为一致。因此,利用非线性局部Lyapunov指数和台站逐日观测资料分析气温的可预报性期限结果是可信的。  相似文献   

12.
Since the last International Union of Geodesy and Geophysics General Assembly(2003),predictability studies in China have made significant progress.For dynamic forecasts,two novel approaches of conditional nonlinear optimal perturbation and nonlinear local Lyapunov exponents were proposed to cope with the predictability problems of weather and climate,which are superior to the corresponding linear theory.A possible mechanism for the"spring predictability barrier"phenomenon for the El Ni(?)o-Southern Oscillation (ENSO)was provided based on a theoretical model.To improve the forecast skill of an intermediate coupled ENSO model,a new initialization scheme was developed,and its applicability was illustrated by hindcast experiments.Using the reconstruction phase space theory and the spatio-temporal series predictive method, Chinese scientists also proposed a new approach to improve dynamical extended range(monthly)prediction and successfully applied it to the monthly-scale predictability of short-term climate variations.In statistical forecasts,it was found that the effects of sea surface temperature on precipitation in China have obvious spatial and temporal distribution features,and that summer precipitation patterns over east China are closely related to the northern atmospheric circulation.For ensemble forecasts,a new initial perturbation method was used to forecast heavy rain in Guangdong and Fujian Provinces on 8 June 1998.Additionally, the ensemble forecast approach was also used for the prediction of a tropical typhoons.A new downscaling model consisting of dynamical and statistical methods was provided to improve the prediction of the monthly mean precipitation.This new downsealing model showed a relatively higher score than the issued operational forecast.  相似文献   

13.
Summary Selected small domain LAM forecasts modulated by highly corrugated underlying topography, and driven by different state-of-science outer models suggest that uncertain outer model guidance for LAMs produces large, domain averaged sensitivity. A further literature survey indicates that many LAM forecasts are relatively insensitive to details of the local initial state, and that mesoscales show slight error growth, in contradiction to classical predictability theory. A series of global predictability experiments is presented in order to reconcile the contradiction. The experiments imply that, even in baroclinically unstable atmospheres, the most common sources of local error growth are associated with small uncertainties of the larger spatial scales rather than small uncertainties of the smaller spatial scales. Variable resolution, real-data experiments of barotropic versions of the global model display substantial mesoscale error growth, due principally to the effect of larger scales. The uncertainties possessing largest spatial scale appear as boundary uncertainties in LAMs, and explain the strong boundary sensitivity and weak local initial data sensitivity observed in many LAMs. We infer that accurate depiction of the largest spatial scales is a first order priority for accurate local prediction, and that for the advective portion of the dynamics, errors of the outer model that provides lateral boundary conditions may impose the largest current practical limitation for many LAM predictions.With 10 Figures  相似文献   

14.
史珍  丁瑞强  李建平 《大气科学》2012,36(3):458-470
根据非线性局部Lyapunov指数的方法, 以Logistic映射和Lorenz系统的试验数据序列为例, 研究了在初始误差存在的情况下, 随机误差对混沌系统可预报性的影响。结果表明: 初始误差和随机误差对可预报期限影响所起的作用大小主要取决于两者的相对大小。当初始误差远大于随机误差时, 系统的可预报期限主要由初始误差决定, 可以不考虑随机误差对预报模式可预报性的影响; 反之, 当随机误差远大于初始误差时, 系统的可预报期限主要由随机误差决定; 当初始误差和随机误差量级相当时, 两者都对系统的可预报期限起重要作用。在后两种情况下, 在考虑初始误差对可预报性影响的同时还必须考虑随机误差的作用。此外, 我们在已知系统精确的控制方程和误差演化方程的条件下, 研究了随机误差对可预报性的影响, 理论所得结果与试验数据所得结果相似。这表明在随机误差较小的情况下, 对系统可预报期限的估计相对准确, 但在随机误差较大的情况下, 可预报期限的估计误差也较大。本文利用三种不同的滤波方法对序列进行了试验, 结果表明, Lanczos高通滤波得到的高频序列与原始加入的噪声序列无论是在强度上还是在演变趋势上都表现得相当一致, 其能有效地去除高频噪音继而提高对系统的可预报期限的估计, 这对实际气象观测资料如何有效地去除噪音具有一定的启发意义。  相似文献   

15.
Initial condition and model errors both contribute to the loss of atmospheric predictability. However, it remains debatable which type of error has the larger impact on the prediction lead time of specific states. In this study, we perform a theoretical study to investigate the relative effects of initial condition and model errors on local prediction lead time of given states in the Lorenz model. Using the backward nonlinear local Lyapunov exponent method, the prediction lead time,also called local backward predictability limit(LBPL), of given states induced by the two types of errors can be quantitatively estimated. Results show that the structure of the Lorenz attractor leads to a layered distribution of LBPLs of states. On an individual circular orbit, the LBPLs are roughly the same, whereas they are different on different orbits. The spatial distributions of LBPLs show that the relative effects of initial condition and model errors on local backward predictability depend on the locations of given states on the dynamical trajectory and the error magnitudes. When the error magnitude is fixed, the differences between the LBPLs vary with the locations of given states. The larger differences are mainly located on the inner trajectories of regimes. When the error magnitudes are different, the dissimilarities in LBPLs are diverse for the same given state.  相似文献   

16.
In this paper, we report a series of observing system simulation experiments that we conducted to assess the potential impact of Global Positioning System/meteorology (GPS/MET) refractivity data on short-range numerical weather prediction. We first conducted a control experiment using the Penn State/NCAR mesoscale model MM5 at 90-km resolution on an extratropical cyclone known as the ERICA (Experiment on Rapidly Intensifying Cyclones over the Atlantic) IOP 4 storm. The results from the control experiment were then used to simulate GPS/MET refractivity observations with different spatial resolution and measurement characteristics. The simulated refractivity observations were assimilated into an 180-km model during a 6-h period, which was followed by a 48-h forecast integration. Key findings can be summarized as follows:
• The assimilation of refractivity data at the 180-km resolution can recover important atmospheric structures in temperature and moisture fields both in the upper and lower troposphere, and, through the internal model dynamical processes, also the wind fields. The assimilation of refractivity data led to a considerably more accurate prediction of the cyclone.
• Distributing the refractivity randomly in space and applying a line averaging did not alter the results significantly, while reducing the spatial resolution from 180 km to 360 km produced a moderately degraded result. Even at the 360-km resolution, the GPS-type refractivity data still have a notable positive impact on cyclone prediction.
• Restricting the refractivity data to altitude 3 km and above considerably degraded its impact on cyclone prediction. This degradation was greater than the combined effects of distributing the refractivity data randomly, performing line averaging, and reducing the resolution to 360 km.
These results showed that the GPS/MET refractivity data is likely to have a significant impact on short-range operational numerical weather prediction. The random distribution and line averaging associated with the inherent GPS occultation do not pose a problem for effective assimilation. On the other hand, these results also argue that we need to improve the GPS/MET retrieval algorithm in order to recover useful data in the lower troposphere, and to increase the number of low-earth-orbiting satellites carrying GPS receivers in order to increase the density of GPS soundings, so that the potential impact of GPS/MET refractivity data on numerical weather prediction can be fully realized.  相似文献   

17.
Extended range(10–30 d) heavy rain forecasting is difficult but performs an important function in disaster prevention and mitigation. In this paper,a nonlinear cross prediction error(NCPE) algorithm that combines nonlinear dynamics and statistical methods is proposed. The method is based on phase space reconstruction of chaotic single-variable time series of precipitable water and is tested in 100 global cases of heavy rain. First,nonlinear relative dynamic error for local attractor pairs is calculated at different stages of the heavy rain process,after which the local change characteristics of the attractors are analyzed. Second,the eigen-peak is defined as a prediction indicator based on an error threshold of about 1.5,and is then used to analyze the forecasting validity period. The results reveal that the prediction indicator features regarded as eigenpeaks for heavy rain extreme weather are all reflected consistently,without failure,based on the NCPE model; the prediction validity periods for 1–2 d,3–9 d and 10–30 d are 4,22 and 74 cases,respectively,without false alarm or omission. The NCPE model developed allows accurate forecasting of heavy rain over an extended range of 10–30 d and has the potential to be used to explore the mechanisms involved in the development of heavy rain according to a segmentation scale. This novel method provides new insights into extended range forecasting and atmospheric predictability,and also allows the creation of multi-variable chaotic extreme weather prediction models based on high spatiotemporal resolution data.  相似文献   

18.
为克服数值模式普遍存在的纬向平均环流预报误差,文中在36a NCEP/NCAR再分析高度场资料的基础上,应用非线性时空序列预测理论的局域近似法构建了200,300,500和700hPa4个等压面上的月尺度逐候纬向平均高度距平场非线性动力学区域预报模型.对1996年12个月所做的预报试验表明,无论是南、北半球中高纬度地区还是低纬度地区,非线性模型的候纬向平均高度预报结果均优于持续性预报、气候预报和T42L9模式动力预报.用非线性结果对T42L9模式月平均高度场预报结果进行订正,则使该谱模式系统性预报误差显著减少,也大大减少了其预报高度场的均方根误差,相应地,高度场距平相关评分也有一定程度的提高,表明纬向平均高度的非线性预报比谱模式动力预报包含了更多的有用信息.  相似文献   

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