The Relationship between Deterministic and Ensemble Mean Forecast Errors Revealed by Global and Local Attractor Radii

It has been demonstrated that ensemble mean forecasts, in the context of the sample mean, have higher forecasting skill than deterministic(or single) forecasts. However, few studies have focused on quantifying the relationship between their forecast errors, especially in individual prediction cases. Clarification of the characteristics of deterministic and ensemble mean forecasts from the perspective of attractors of dynamical systems has also rarely been involved. In this paper, two attractor statistics—namely, the global and local attractor radii(GAR and LAR, respectively)—are applied to reveal the relationship between deterministic and ensemble mean forecast errors. The practical forecast experiments are implemented in a perfect model scenario with the Lorenz96 model as the numerical results for verification. The sample mean errors of deterministic and ensemble mean forecasts can be expressed by GAR and LAR, respectively, and their ratio is found to approach2~(1/2) with lead time. Meanwhile, the LAR can provide the expected ratio of the ensemble mean and deterministic forecast errors in individual cases.     

Rate and historical change of direct recharge from precipitation constrained by unsaturated zone profiles of chloride and oxygen‐18 in dry river bed of North China Plain

Quantifying of direct recharge derived from precipitation is crucial for assessing sustainability of well‐irrigated agriculture. In the North China Plain, the land use is dominated by groundwater‐irrigated farmland where the direct recharge derived from precipitation and irrigation. To characterize the mean rate and historical variance of direct recharge derived from precipitation, unsaturated zone profiles of chloride and δ¹⁸O in the dry river bed of the Beiyishui River were employed. The results show that archival time scale of the profile covers the duration from 1980 to 2002 (corresponding to depths from 5 to 2 m) which is indicated by matching the δ¹⁸O peaks in the isotope profile with the aridity indexes gained by instrumental records of annual precipitation and annual potential evaporation. Using the chloride mass balance method, the mean rate of the direct recharge corresponding to the archival time scale is estimated to be 3·8 ± 0·8 mm year^?1, which accounts for about 0·7% of the long‐term average annual precipitation. Further, the direct recharge rates vary from 2·1 to 6·8 mm year^?1 since 1980. Despite the subhumid climate, the estimate of recharge rates is in line with other findings in semiarid regions. The low rate of direct recharge is considered as a result of the relative dry climate in recent decades. In dry river bed, unsaturated zone profiles of chloride and δ¹⁸O combined with instrumental records could offer valuable information about the direct recharge derived from precipitation during droughts. Copyright © 2011 John Wiley & Sons, Ltd.     

混沌系统单变量可预报性研究

对于n维的混沌系统, 不同变量的可预报性是不同的。为了研究混沌系统中单个变量的可预报性, 本文在以前提出的混沌系统整体的非线性局部Lyapunov指数基础上(李建平等, 2006), 引入了单变量的非线性局部Lyapunov指数及其相关统计量, 进一步完善了非线性误差增长理论。通过应用到几个混沌个例, 结果表明单变量的非线性局部Lyapunov指数及其相关统计量可以用来定量地研究多维混沌系统中不同变量的可预报性, 系统不同变量的可预报性之间不是相互独立的, 而是单个变量的可预报期限与系统整体的可预报期限之比都近似保持一个常数, 但各个变量的常数值有所不同。     

冻土弹塑性本构模型研究现状

土体的本构模型是分析计算土工结构变形规律的关键。自剑桥模型提出以来,对于土体本构模型的研究,各国学者在不同环境条件下发展研究了适用于相应试验条件下的各类模型。随着寒区经济的发展,关于冻土力学性质的研究日益增多,许多学者借鉴常规融土的研究方法建立了不同条件下的冻土弹塑性本构模型。为了进一步理清冻土变形行为的特征,完善适用于冻土弹塑性行为的本构模拟理论和方法,作者总结和分析了各类冻土弹塑性本构模型的理论基础、建模方法、参数确定方法等内容,对进一步发展可准确描述冻土复杂力学行为的本构模型具有指导意义。     

Baseline predictability of daily east Asian summer monsoon circulation indices

The nonlinear local Lyapunov exponent (NLLE) method is adopted to quantitatively determine the predictability limit of East Asian summer monsoon (EASM) intensity indices on a synoptic timescale. The predictability limit of EASM indices varies widely according to the definitions of indices. EASM indices defined by zonal shear have a limit of around 7 days, which is higher than the predictability limit of EASM indices defined by sea level pressure (SLP) difference and meridional wind shear (about 5 days). The initial error of EASM indices defined by SLP difference and meridional wind shear shows a faster growth than indices defined by zonal wind shear. Furthermore, the indices defined by zonal wind shear appear to fluctuate at lower frequencies, whereas the indices defined by SLP difference and meridional wind shear generally fluctuate at higher frequencies. This result may explain why the daily variability of the EASM indices defined by zonal wind shear tends be more predictable than those defined by SLP difference and meridional wind shear. Analysis of the temporal correlation coefficient (TCC) skill for EASM indices obtained from observations and from NCEP’s Global Ensemble Forecasting System (GEFS) historical weather forecast dataset shows that GEFS has a higher forecast skill for the EASM indices defined by zonal wind shear than for indices defined by SLP difference and meridional wind shear. The predictability limit estimated by the NLLE method is shorter than that in GEFS. In addition, the June-September average TCC skill for different daily EASM indices shows significant interannual variations from 1985 to 2015 in GEFS. However, the TCC for different types of EASM indices does not show coherent interannual fluctuations.     

Application of Backward Nonlinear Local Lyapunov Exponent Method to Assessing the Relative Impacts of Initial Condition and Model Errors on Local Backward Predictability

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.     

时-空二维波传播分解方法及其在季节内振荡分析中的应用

大气季节内振荡最显著的特征之一就是其复杂多变的传播特征。为了进一步分析大气季节内振荡的传播特征及其不同传播方向分量的不同作用,基于波的传播理论,对时-空谱分析进行了发展,提出了时-空二维波传播分解方法,并用理想函数验证了其正确性和可行性。结果表明:对任一时-空二维序列,采用此方法均可正确地分解得到空间上具有不同传播方向的3部分分量:前进波、后退波和驻波分量。之后,对向外长波辐射(OLR)、200和850hPa纬向风的东传、西传分量以及驻波分量分别进行联合经验正交函数(CEOF)分析。结果表明,在东传分量上,热带大气季节内振荡主要表现为纬向1波的向东传播,与对流层高、低层纬向风呈现反位相的斜压结构,和未分解的情况相比,前两个主要模态重要性的排序出现了颠倒,说明通过时-空二维波传播分解,避开了各分量之间的相互影响,进一步揭示了前两个模态的物理意义及其在季节内振荡中的重要性;在西传分量上,热带大气季节内振荡主要表现为纬向2—3波的向西传播;驻波分量主要表现出印度洋和太平洋的反位相结构。对热带地区大气季节内振荡的东、西分量的分析,深化了对热带大气季节内振荡东传、西传特征的了解,这对于热带大气季节内振荡更加准确预报及其...     

西藏冈底斯中段桑桑花岗质岩体锆石U-Pb年龄与Hf同位素组成及其对岩石成因和构造演化的制约

以西藏冈底斯中段西侧桑桑花岗质岩体为对象,进行了系统的年代学、元素地球化学和锆石Hf同位素组成研究,据此阐明了岩体成因,并探讨了其构造意义。锆石LA-ICP-MS U-Pb定年表明,桑桑花岗质岩体的成岩年龄为49~54 Ma。化学组成上,岩体具有亚碱、准铝、贫磷的特征(A/NKC1.10,P_2O_50.20%),属钙碱性I型花岗岩类。岩体富Cs、Rb、Ba、Th、U、K、Pb和轻稀土,贫Nb、Ta、P与Ti,表现出弧岩浆岩的地球化学特征。岩体的锆石εHf(t)值变化较大,散布于正值与负值之间(=-4.24~+5.49),指示其形成存在不同来源物质的贡献。综合分析表明,桑桑花岗质岩体起源于初生地壳的部分熔融,但在成岩过程中有古老地壳组分的参与。结合区域地质背景,笔者认为这一古老地壳组分最可能来自印亚碰撞过程中俯冲下插的印度地壳,由此说明印度-欧亚大陆碰撞的起始时间应早于54 Ma。     

华南夏季降水的变化特征及其与热带太平洋海温异常的关系

根据1958-2008年华南48站降水资料、NOAA全球逐月海温格点资料、NCEP/NCAR再分析资料,采用EOF分解、相关、合成等统计方法,分析了华南夏季降水的变化特征及其与冬季热带太平洋海温的关系。结果表明,华南夏季降水变化特征主要表现为,空间分布以全区一致型为主,其次是南北反相对称型和东西反相对称型,且这3种分布模态都表现出显著的年际和年代际特征。全区一致型降水异常与热带太平洋海温显著相关,二者的相关性也具有年代际变化特征,其对应的热带太平洋海温具有沿赤道太平洋呈“负-正-负”的纬向分布型,类似于中部型El Nino。全区降水偏多时期,西南季风偏强,西太平洋副热带高压偏强、脊点位置偏西,南亚高压偏强、脊点位置偏东,总体的环流形势有利于华南地区的水汽输送和上升运动;降水偏少时期,情况相反。     

Nonlinear Atmospheric and Climate Dynamics in China （2003-2006）： A Review

Recent advances in the study of nonlinear atmospheric and climate dynamics in China （2003 2006） are briefly reviewed. Major achievements in the following eight areas are covered： nonlinear error dynamics and predictability; nonlinear analysis of observational data; eddy-forced envelope Rossby soliton theory; sensitivity and stability of the ocean＇s thermohaline circulation; nonlinear wave dynamics; nonlinear analysis on fluctuations in the atmospheric boundary layer; the basic structures of atmospheric motions; some applications of variational methods.