混沌系统的局域特征与可预报性

讨论了混沌系统的时间和空间的局域特征。首先分析了研究时间和空间局域特征的必要性。接着引进了有限时间不稳定和局域时间不稳定的概念，并对有关的计算问题进行了研究。对Ｌｏｒｅｎｚ系统的具体计算表明，随着轨线在混沌吸引子上的演变，局域不稳定特征有很大的变化，相应误差增长也有很大的变化。相应于误差迅速增长的轨线部分局限于很有限的相空间范围内，而且同误差增长缓慢的轨线部分占据的相空间区域截然可分。每一个例的可预报性依赖于轨线在相空间中所处的区域。混沌系统的这种局域特征可以是导致个例业务预报技巧之间有很大差别的主要原因。     

大气的可预报性与大气模式的设计

本文首先提出了设计数值天气预报模式的基本原则——模式大气的可预报性和实际大气的可预报性相一致。然后依据此原则讨论了目前在设计各种数值预报模式时存在的问题。     

区域旱涝气候混沌动力学可预报性研究

根据西安地区旱涝气候等级近1624a（380-2003年）资料序列,运用非线性系统混沌动力学理论,通过计算气候吸引子的关联维数、Kolmogorov熵和Lyapunov指数,对西安区域旱涝气候的混沌特性和可预报性进行研究。结果表明：西安区域旱涝气候系统是一个具有有限个自由度的复杂的混沌系统。其吸引子关联维数约为3．1,确定性的平均可预报时间尺度约为14．8a,最大可预报时间尺度约为20．7a。     

STABILITY AND POTENTIAL PREDICTABILITY OF ANNUAL PERCIPITATION OVER CHINA

The precipitation is a primary element which directly affects the agricultural production of thecountry with one fifth of the world population.With the economic development the water resourcestress is getting greater.In this paper,based on the data at 162 stations selected evenly over Chinafrom 1960 to 1991 the stability and potential predictability of annual precipitation have been stud-ied.The eastern and southern parts of the country having abundant precipitation enjoy more stableprecipitation.The north and northwest parts of the country where the precipitations are deficienthave unstable precipitations.The potential predictability approximates to the ratio of the estimatedinterannual variance to the climatic noise.Generally the annual precipitation over China is poten-tially predictable.In the area between the Huanghe River and Changjiang River and the east ofnortheastern China the potential predictability is the lowest in the country.In the north and north-west of the country the potential predictability is greater.The southeastern coast has relatively lowvalues of potential predictability.Also,the method of estimating climatic noise of annual precipita-tion has been discussed from the idea of Yamamoto et al.(1985)in order to estimate the potentialpredictability.     

单站气温信息传递及其可预报性研究

采用信息传递量作为度量气候可预报性的指标，分别讨论了我国各大气候区的１０个代表测站平均气温的可预报性。数值计算表明，各种不同时间尺度信息传递量具有不同的衰减特征，其差异反映出实际气候背景的差异，信息传递量较好地代表了可预报性特征。由于实测的信息衰减与模式信息衰减具有一致性，因此，信息传递可作为检验模式可预报性的有益工具。     

中国大气净辐射的气候特征

根据ＥＲＢＥ和ＩＳＣＣＰ资料以及实测和计算和地表净辐射资料进行了计算，并讨论了我国大气净辐射的气候特征；分析了其与各辐射分量及影响因子的关系。结果表明，大气净辐射与大气吸收波辐射有很高的线性关系，并可由此建立起统一的大气净辐射计算式。     

中国月平均温度的气候噪声和潜在可预报性

利用中国74个测站1960～1991年日平均温度研究了中国月平均温度的气候噪声和潜在可预报性。气候噪声是在Yamamoto等人的思想基础上设计的方法估计的,而潜在可预报性则是用月平均温度的年际变化与自然变化（气候噪声）之比表示的。一般情况下中国月平均温度的气候噪声随纬度和高度增加而增加,并随季节变化而变化。来自西伯利亚和蒙古的变性大陆干冷气团对气候噪声有很大的影响,一般而言,海洋对气候噪声起着调节和减弱作用（除了热带海洋在春秋过渡季节外）。月平均温度的潜在可预报性有较大的季节和区域差异。但总的来说中国月平均温度在α＝0．10的统计显著性水平上是潜在可预报的。这些结果表明由于气候噪声和潜在可预报性有季节和区域的差异,所以不能要求用一个气候模式在任何时候对每一地区都得到满意的结果。要对各月的气候进行预报,需根据不同月份至少不同季节建立区域气候模式可能更有发展前景。     

POTENTIAL PREDICTABILITY OF MONTHLY PRECIPITATION OVER CHINA

In this paper,based on the data at 70 stations selected evenly over China for 31 years from1961—1991.three methods to estimate climatic noise have been discussed and then the climaticnoise and potential predictability of monthly precipitation(January.July.April and October)havebeen examined.The estimating of climatic noise is based on the method of Madden and improvedmethods of Trenberth and Yamamoto et al.(1985).The potential predictability is approximatedby the ratio of the estimated interannual variation to the natural variation.Generally.the climaticnoise of monthly precipitation over China has obvious seasonal variation and it is greater in summerthan in winter,a bit greater in autumn than in spring.In most areas,the climatic noise isprominently decreasing from south to north and from coast to inland.The potential predictabilityof monthly precipitation also has obvious seasonal and regional difference,but the potentialpredictability is greater in winter than in summer in most parts of China.Whereas the comparisonof spring and autumn is not obvious.Comparing with the method of Madden,the estimated valuesof climatic noise based on the improved methods of Trenberth and Yamamoto et al.are relativelylower.     

大气折射指数垂直分布的气候特征计算

建立了南京地区大气折射指数垂直分布关系式，并计算了不同气候时段下分布参数、拟合误差以及Ｎ单位垂直变化梯度。结果表明：不同气候时段的累年年平均垂直分布参数不同，但差异并不明显；逐年年平均垂直分布参数间的差异较明显；累年逐月平均垂直分布不同月份间的参数差异很大，具有明显的季节性；逐年逐月平均垂直分布较全面地反映出分布的气候时段性、年际特性、季节特性及月际特性。还建立了一种考虑随机时间序列振动位相的多元     

FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR

The equivalent operator equation is derived from the full primitive nonlinear equations of theatmospheric motion and the properties and physical senses of the operators are studied.In theinfinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system withthe non-stationary external forcing is studied under the assumption of the bounded externalforcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996 a;1996 b)areextended to the general atmosphere.     

POTENTIAL PREDICTABILITY OF MONTHLY PRECIPITATION OVER CHINA*

In this paper,based on the data at 70 stations selected evenly over China for 31 years from 1961-1991.three methods to estimate climatic noise have been discussed and then the climatic noise and potential predictability of monthly precipitation(January.July.April and October)have been examined.The estimating of climatic noise is based on the method of Madden and improved methods of Trenberth and Yamamoto et al.(1985).The potential predictability is approximated by the ratio of the estimated interannual variation to the natural variation.Generally.the climatic noise of monthly precipitation over China has obvious seasonal variation and it is greater in summer than in winter,a bit greater in autumn than in spring.In most areas,the climatic noise is prominently decreasing from south to north and from coast to inland.The potential predictability of monthly precipitation also has obvious seasonal and regional difference,but the potential predictability is greater in winter than in summer in most parts of China.Whereas the comparison of spring and autumn is not obvious.Comparing with the method of Madden,the estimated values of climatic noise based on the improved methods of Trenberth and Yamamoto et al.are relatively lower.     

LOCALIZED HADLEY CIRCULATION AND ITS LINKAGE TO PACIFIC SSTA

The 1979-2001 ERA-40 monthly mean meridional winds are used to calculate the mass streamfunctions in the monsoon region (60-140° E) and Nio zone (160° E-120° W),with which the climate characteristics and intensity variation of the localized Hadley circulation (LHC) are analyzed over the two regions and the linkage of this LHC to Pacific SST is explored.Evidence suggests as follows.1) The climatological LHC is stronger in the monsoon than in the Nio zone,with its position in the former northward of the lat...     

FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR*

The equivalent operator equation is derived from the full primitive nonlinear equations of the atmospheric motion and the properties and physical senses of the operators are studied.In the infinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system with the non-stationary external forcing is studied under the assumption of the bounded external forcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996a;1996b) are extended to the general atmosphere.     

用500hPa月高度场作月降水预报所提供的可预报性时空分布

研究了用前期2——4个月500hPa高度场预报后期我国160个测站月降水量所提供的可预报性时空分布特征,结果表明：从空间分布上看,可预报性存在着西北高东南低的空间分布特点。从时间变化上看,4、5、6月降水的可预报性没有8、9、11、12、1月降水的可预报性好。同时,探讨了影响这种时空分布变化的可能原因,指出将500hPa高度场作为对我国降水进行月长期预报的唯一因子,会受到时间和空间上的种种限制,为了提高预报效果,还需要考虑海洋等其它预报因子。     

气候系统的非线性特征及其预测理论

本文针对气候问题的特殊性,对气候的定义、气候系统的非线性特征、演变机制、可预报性问题以及气候状态的预报方法等做了较全面的研究,这些内容初步形成了气候系统的准动力—准随机理论,是气候动力学的新发展。     

中纬和热带气旋路径可预报性的差异

应用非线性系统分析方法，对比研究了中纬度欧洲地区（０～９０°Ｅ，２５～６０°Ｎ）冬季１８０个气旋路径和西太平洋地区（１１０～１７０°Ｅ，１０～４５°Ｎ）夏季１８０个台风路径。通过计算独立气旋“对”的关联函数和气旋路径的结构函数，得到了代换相空间中气旋（台风）路径吸引子维数为２～２．５（１．４～１．９）和路径的自相似性。由此推断初始误差ｅ的折指率均为２～３天左右，分区的结果亦类似。对气旋路径的时间标度分析表征着系统的无标度性，关联方差谱遵从频率的２～３次方幂律。     

THE EFFECTS OF EXTERNAL FORCING,DISSIPATION AND NONLINEARITY ON THE SOLUTIONS OF ATMOSPHERIC EQUATIONS

Based on the primitive equations of the atmosphere,we study the effects of external forcing.dissipation and nonlinearity on the solutions of stationary motion and non-stationary motion.Theresults show that the asymptotic behavior of solutions of the forced dissipative nonlinear system isessentially different from that of the adiabatic non-dissipative system,the adiabatic dissipativesystem,the diabatic non-dissipative system and the diabatic dissipative linear system,and that thejoint action of external forcing,dissipation and nonlinearity is the source of multiple equilibria.From this we can conclude that the important actions of diabatic heating and dissipation must beconsidered in the models of the long-term weather and the climate.     

印度夏季风的年际变异与北半球大气环流的特征

印度夏季风的年际变异是大范围大气环流相互联系、相互影响的结果。本文应用１９５１—１９８５年印度夏季风资料，选取强季风年４年和弱季风年６年，分别对北半球５００ｈＰａ高度场进行距平合成分析和复自然正交函数（ＣＥＯＦ）分析。结果指出，大西洋和鄂霍次克海阻塞高压的稳定存在以及乌拉尔山低压槽的频繁活动与强印度季风年相联系，而大西洋和鄂霍次克海低压系统的频繁活动以及欧洲阻塞高压的稳定存在与弱印度季风年相联系。印度夏季风强弱不同年份，春季北半球大气环流已经出现了一些不同特征，这对于当年夏季风的强弱和北半球气候异常有预示作用。印度夏季风强弱的不同年份和不同季节，北半球存在极地和赤道低纬位相函数大而中高纬度位相函数小，且扰动由中高纬向极地和赤道方向传播的特征     

WINTER QINGHAI-XIZANG T_(BB) FEATURES IN RELATION TO ATMOSPHERIC CIRCULATION PATTERN AND ASIAN-AUSTRALIAN MONSOONS

Predominantly in the context of Japan GMS-derived T_(BB) data,study is undertaken of therelationship between the winter thermal conditions of the Qinghai-Xizang Plateau(QXP)andanomaly in Asian-Australian monsoons during northern summer.Evidence suggests that anti-correlation of cold air activity of East Asia with that of Mid Asia is responsible for the counterpartof the ground thermal characteristics anomaly on an interannual basis between the SW and NEQXP;the winter thermal pattern bears a closer correlativity with the subsequent summertimeAsian-Australian monsoons anomaly;as the thermal distribution is reversed,so are the convectionfeatures over North and South China,maritime continent,the NW and SW Pacific at tropical andequatorial latitudes,resulting in vast difference between East-Asian summer and Indonesian-NorthAustralian winter monsoons;the subtropical monsoon-associated rainbelt over the mid-lowerChangjiang basins exhibits the discrepancy in vigor and northerly shift timing.Besides,part of theresults has been further borne out through analysis of temperature and precipitation records of theeastern portion of the country in monsoon climate.     

我国东部近百年夏季雨型的大气环流和海温场特征

根据新划分的1900－1998年东部夏季雨型序列，分析了与各类雨型相对应的北球海平面气压场和海表温度距平均的行征。指出不同雨型对应着不同的环流场和海表温度距平场，而且存在着差异的强信号区。