不稳定横波型扰动谱点分布的半圆定理

作者在理论上对不稳定横波型扰动的谱点分布作了分析,得到了该不稳定扰动谱点分布的半圆定理,即谱点分布在复平面上以原点为圆心、以R0为半径的下半圆域上;并发现扰动的波长越短、模式层顶越高、静力稳定度参数的绝对值越大、基流的垂直切变越大、纬度越高则该半径就越大.     

一类具有随机时滞的受扰马尔科夫跳变系统有限时间稳定性

本文研究了一类具有随机时滞的受扰马尔科夫跳变线性系统的有限时间稳定性问题.通过引入服从伯努利分布的随机变量刻画了时滞变化的随机特性.本文首先分析了系统的随机有限时间稳定性,基于分析结果设计了反馈控制器,使得系统状态在马尔科夫跳变、随机时滞和外界扰动等并存时,在给定时间内收敛于某一区域而不超过指定的上界值,并可获得该上界的具体值.最后通过数值仿真验证了所提算法的有效性.     

赤道东太平洋海温与长江下游地区降水异常的相关分析

本文采用最大熵谱分析方法揭示了赤道东太平洋海温和长江下游地区降水均存在3-4年和准两年的周期性振荡特征。且通过时滞相关分析发现两者均存在显著的相关关系,并以降水滞后海温约4个月的正相关最为明显。在此基础上利用一个多级数字滤波器对两者的逐月距平序列进行了高通、低通和带通滤波,并对两者在不同时间尺度上的滤波分量进行时滞相关分析,结果发现只是在2-4年的时间尺度上两者相关最为密切,并以降水滞后海温4-5月的正相关最为显著。     

近50 a全球和三大洋海温距平的时空变化特征

利用49a(1950-1998年)NCEP/NCAR逐月SSTA资料和EOF方法,分别对太平洋、大西洋、印度洋和全球海洋SSTA主要特征向量的空间分布和相应的时间变化进行了讨论。利用Morlet小波进一步分析了要素场的周期变化和能量变化。发现经EOF分解后的SSTA场具有很好的空间整体性和明显的年际和年代际变化。各大洋海温变化存在明显的同期和时滞相关关系,很好地体现了大洋间的协同作用和太平洋的主导作用。从不同的空间分布模态中选择海温变化显著的区域作为关键区,进行同期和时滞相关分析,结果发现各关键区之间具有明显的同期和时滞相关关系。     

具有分布时滞的高阶中立型双曲偏微分方程的振动准则

考虑了一类具有分布时滞的高阶中立型双曲泛函偏微分方程.利用Green公式、Jensen不等式,通过特征值的方法,获得了方程解在两类边值条件下振动的新的准则,所得结果推广和改进了若干文献中已有准则.     

一类带马氏切换与时滞的未定权益模型的对冲策略

在风险资产服从一类带马尔科夫模式切换（马氏切换）的时滞随机微分方程模型的情形下,考虑了一个以上述风险资产为标的资产的欧式未定权益,利用Esscher变换找到了等价鞅测度,并在此基础上得到该权益价格过程的鞅表示.同时,在资产价格过程的系数满足一定条件的假设下,给出了在由马氏切换的出现而导致的不完备市场中,通过最小化残余风险而求得的最优连续对冲策略.     

分布参数高阶随机时滞Hopfield神经网络的指数稳定性

利用Lyapunov稳定性理论,积分不等式和Halanay不等式,研究了具分布参数的高阶随机时滞 Hopfield神经网络的均方指数稳定性,得到了保证系统指数稳定且与扩散项相关的充分性条件,并给出了指数收敛率,同时放松了现有文献中对变时滞的要求,因而在一定程度上了改进了现有文献的结果.最后给出了数值算例验证所得结果的有效性.     

不确定系数多离散时滞的中立型系统的时滞相关鲁棒稳定性

研究了一类时变不确定系数多离散时滞中立型系统的时滞相关鲁棒稳定性问题.利用线性矩阵不等式技术,提出了一种计算该系统自由权矩阵和时滞上界的简化方法,并在系统中考虑了中立项时滞和离散时滞,得到了上述系统为稳定与鲁棒稳定的一些充分条件.最后,用数值例子说明了该方法的有效性和较小的保守性.     

500 hPa球函数谱异常用于我国东部汛期降水预测的尝试

用北、南半球500hPa月平均位势高度场球函数系数资料代替格点资料，用区域降水指数表示华北、江淮、华南五区汛期(6～8月)降雨。通过引进复相关系数和构造复相关系数场模．分析了半球500hPa环流与我国东部汛雨异常的同时和时滞相关联系。在此基础上．选取5月份北半球、1月份南半球球函数系数与东部汛期降水作时滞的奇异值分解。由此得到的预测关系在1998～2001年汛期降水预报试验中取得了一定效果，从而对500hPa环流的球函数系数资料在区域月、季长期天气预报中的应用作了有益的尝试。     

夏季青藏高原移动性对流系统与中国东部降水的相关关系

利用国际卫星云气候计划提供的1985-2002年共18年的MCSs路径跟踪资料、 NCEP/NCAR逐月再分析资料和中国138个地面常规观测站资料,分析了夏季起源于青藏高原地区的移动性MCSs的主要时空分布特征,探讨了青藏高原MCSs与中国降水的关系.通过对MCSs爆发异常强弱年高度和风差值场的分析,概括出青藏高原MCSs影响中国降水的可能机制.结果表明:夏季青藏高原移动性MCSs主要生成于青藏高原东南部,其爆发时间具有明显的日变化特征,它们能够传播到我国中东部及南亚许多地区;夏季MCSs对我国降水具有重要影响,它们与中国夏季降水的相关系数分布以4条正、负相间的东西向分布带的形势存在,从南到北依次为"- - ",这与我国夏季降水带的变化形势非常一致;南亚高压、西太平洋副热带高压和东北冷涡的强度、位置变化与高原MCSs生成的多少密切相关,并通过它们对我国夏季降水带的分布造成重要影响.     

Time to act now? Assessing the costs of delaying climate measures and benefits of early action

This paper compares the results of the three state of the art climate-energy-economy models IMACLIM-R, ReMIND-R, and WITCH to assess the costs of climate change mitigation in scenarios in which the implementation of a global climate agreement is delayed or major emitters decide to participate in the agreement at a later stage only. We find that for stabilizing atmospheric GHG concentrations at 450?ppm CO₂-only, postponing a global agreement to 2020 raises global mitigation costs by at least about half and a delay to 2030 renders ambitious climate targets infeasible to achieve. In the standard policy scenario??in which allocation of emission permits is aimed at equal per-capita levels in the year 2050??regions with above average emissions (such as the EU and the US alongside the rest of Annex-I countries) incur lower mitigation costs by taking early action, even if mitigation efforts in the rest of the world experience a delay. However, regions with low per-capita emissions which are net exporters of emission permits (such as India) can possibly benefit from higher future carbon prices resulting from a delay. We illustrate the economic mechanism behind these observations and analyze how (1) lock-in of carbon intensive infrastructure, (2) differences in global carbon prices, and (3) changes in reduction commitments resulting from delayed action influence mitigation costs.     

The response of summer monsoon onset/retreat in Sumatra-Java and tropical Australia region to global warming in CMIP3 models

In this study, we assess the potential changes in the onset, retreat and duration of austral summer monsoon covering the domain from south Sumatra and Java region in the tropics to the northern Australian continent. We simply call it the Australian summer monsoon. Daily precipitable water and 850 hPa wind from 13 CMIP3 models are used in the diagnoses. A majority of the models can capture the northwest–southeast evolution of the summer monsoon, which starts from the south Sumatra and Java region around later November and then progressively approaches the Australian continent in late December. Nevertheless, significant biases exist in the modeled onset/retreat dates and the extent of the monsoon inland penetration. Under global warming, the agreement among the model projections varies across the domain. In between the Sumatra-Java archipelago and the top end of the Australian continent, over 80 % of the models simulate delayed monsoon onset and shortened duration by ~10 days, but less model agreement is seen over interior continent where the model ensembles show an approximate 7-day delay of both the onset and retreat with relatively little change in duration. Both El Nino-Southern Oscillation and Indian Ocean SST patterns appear to play important roles in determining the variations of the modeled monsoon onset. Nevertheless, the extent of their influence varies significantly across the models. Under global warming, a large proportion of models show relatively less warming in the eastern Indian Ocean and with a consequent increase in the modeled Indian Ocean Dipole index. Both a weakened and/or eastward shift of the upward branch of Walker circulation and the Indian Ocean contribute to the simulated delayed onset and shortened duration in the tropics under global warming.     

Projected future changes in synoptic systems influencing southwest Western Australia

Rainfall in the southwest of Western Australia (SWWA) is sensitive to shifts in the hemispheric scale circulation due to its location at the northward extent of the influence of mid-latitude fronts. A step-drop in the 1970s to a new winter rainfall regime has caused great concern for water users in the region. The synoptic systems at the height of winter in the latter half of the 20th century over this region have been described in Hope et al. (Clim Dyn, 2006) using a self-organising map, and in this study the projected future shifts in those systems has been examined. Bounds are placed on the possible responses by examining a number of different models and, into the future, two scenarios at the upper (SRES A2) and lower (SRES B1) limits of plausible human induced emissions. Rainfall taken directly from the models captures the rainfall decline in the 1970s, and, although it is not as large as observed in any one model, all the models express a decline, which is a very strong result. Into the future the rainfall decline is dramatic. The scenario at the upper bound of emissions, where atmospheric concentrations of greenhouse gases continue to rise strongly, shows a rainfall decline right through to the end of the century. The shift in synoptic systems for most models is to far fewer troughs and more high pressure systems across the region. One model exhibits a different signature, with a shift to more systems with a zonal structure. The fact that there is a rainfall decline shown by all models, yet the synoptic changes are different, highlights how sensitive SWWA rainfall is to the different responses of climate models to increasing greenhouse gases. In the B1 scenario, the concentrations rise only slowly in the second half of the century and the shift is still to drier conditions, but it is not as striking. These results show that increasing concentrations of greenhouse gases lead to increasingly dry conditions in SWWA, and as the atmospheric concentrations rise, the synoptic response intensifies.     

中国木本植物物候变化特征分析

利用1963—1988年中国木本植物物候观测资料,运用趋势分析的方法研究了26 a来全国21个站的木本植物物候变化特征。结果表明:26 a来,全国各地区木本植物春季物候期和秋季物候期大体上都是推迟的,1976—1988年与1963—1975年相比,绝大多数植物物候期都有明显推迟,部分植物物候期推迟了10 d以上。     

Assessing the role of deep rooted vegetation in the climate system with model simulations: mechanism, comparison to observations and implications for Amazonian deforestation

Deep rooted vegetation (of up to 68?m) has been found in many parts of the tropics. However, models of the general atmospheric circulation (GCMs) typically use rooting depths of less than 2?m in their land surface parametrizations. How does the incorporation of deep roots into such a model affect the simulated climate? We assess this question by using a GCM and find that deeper roots lead to a pronounced seasonal response. During the dry season, evapotranspiration and the associated latent heat flux are considerably increased over large regions leading to a cooling of up to 8?K. The enhanced atmospheric moisture is transported towards the main convection areas in the inner tropical convergence zone where it supplies more energy to convection thus intensifying the tropical circulation patterns. Comparison to different kinds of data reveals that the simulation with deeper roots is much closer to observations. The inclusion of deep roots also leads to a general increased climatic sensitivity to rooting depth change. We investigate this aspect in the context of the climatic effects of large-scale deforestation in Amazonia. Most of the regional and remote changes can be attributed to the removal of deep roots. We conclude that deep rooted vegetation is an important part of the tropical climate system. Without the consideration of deep roots, the present-day surface climate cannot adequately be simulated.     

The Intra-Seasonal Oscillation and its control of tropical cyclones simulated by high-resolution global atmospheric models

Project Athena is an international collaboration testing the efficacy of high-resolution global climate models. We compare results from 7-km mesh experiments of the Nonhydrostatic Icosahedral Atmospheric Model (NICAM) and 10-km mesh experiments of the Integrated Forecast System (IFS), focusing on the Intra-Seasonal Oscillation (ISO) and its relationship with tropical cyclones (TC) among the boreal summer period (21 May–31 Aug) of 8?years (2001–2002, 2004–2009). In the first month of simulation, both models capture the intra-seasonal oscillatory behavior of the Indian monsoon similar to the observed boreal summer ISO in approximately half of the 8-year samples. The IFS simulates the NW–SE-oriented rainband and the westerly location better, while NICAM marginally reproduces mesoscale organized convective systems and better simulates the northward migration of the westerly peak and precipitation, particularly in 2006. The reproducibility of the evolution of MJO depends on the given year; IFS simulates the MJO signal well for 2002, while NICAM simulates it well for 2006. An empirical orthogonal function analysis shows that both models statistically reproduce MJO signals similar to observations, with slightly better phase speed reproduced by NICAM. Stronger TCs are simulated in NICAM than in IFS, and NICAM shows a wind-pressure relation for TCs closer to observations. TC cyclogenesis is active during MJO phases 3 and 4 in NICAM as in observations. The results show the potential of high-resolution global atmospheric models in reproducing some aspects of the relationship between MJO and TCs and the statistical behavior of TCs.     

Linking model design and application for transdisciplinary approaches in social-ecological systems

As global environmental change continues to accelerate and intensify, science and society are turning to transdisciplinary approaches to facilitate transitions to sustainability. Modeling is increasingly used as a technological tool to improve our understanding of social-ecological systems (SES), encourage collaboration and learning, and facilitate decision-making. This study improves our understanding of how SES models are designed and applied to address the rising challenges of global environmental change, using mountains as a representative system. We analyzed 74 peer-reviewed papers describing dynamic models of mountain SES, evaluating them according to characteristics such as the model purpose, data and model type, level of stakeholder involvement, and spatial extent/resolution. Slightly more than half the models in our analysis were participatory, yet only 21.6% of papers demonstrated any direct outreach to decision makers. We found that SES models tend to under-represent social datasets, with ethnographic data rarely incorporated. Modeling efforts in conditions of higher stakeholder diversity tend to have higher rates of decision support compared to situations where stakeholder diversity is absent or not addressed. We discuss our results through the lens of appropriate technology, drawing on the concepts of boundary objects and scalar devices from Science and Technology Studies. We propose four guiding principles to facilitate the development of SES models as appropriate technology for transdisciplinary applications: (1) increase diversity of stakeholders in SES model design and application for improved collaboration; (2) balance power dynamics among stakeholders by incorporating diverse knowledge and data types; (3) promote flexibility in model design; and (4) bridge gaps in decision support, learning, and communication. Creating SES models that are appropriate technology for transdisciplinary applications will require advanced planning, increased funding for and attention to the role of diverse data and knowledge, and stronger partnerships across disciplinary divides. Highly contextualized participatory modeling that embraces diversity in both data and actors appears poised to make strong contributions to the world’s most pressing environmental challenges.     

DISCREPANCY OF THE GLOBAL AIR MASS AND WATER BUDGETS AMONG 20 CMIP5 CLIMATE MODELS

The consistency of global atmospheric mass and water budget performance in 20 state-of-the-art ocean–atmosphere Coupled Model Intercomparison Project Phase 5 (CMIP5) coupled models has been assessed in a historical experiment. All the models realistically reproduce a climatological annual mean of global air mass (AM) close to the ERA-Interim AM during 1989–2005. Surprisingly, the global AM in half of the models shows nearly no seasonal variation, which does not agree with the seasonal processes of global precipitable water or water vapor, given the mass conservation constraint. To better understand the inconsistencies, we evaluated the seasonal cycles of global AM tendency and water vapor source (evaporation minus precipitation). The results suggest that the inconsistencies result from the poor balance between global AM tendency and water vapor source based on the global AM budget equation. Moreover, the cross-equatorial dry air mass ?ux, or hemispheric dry mass divergence, is not well represented in any of the 20 CMIP5 models, which show a poorly matched seasonal cycle and notably larger amplitude, compared with the hemispheric tendencies of dry AM in both the Northern Hemisphere and Southern Hemisphere. Pronounced erroneous estimations of tropical precipitation also occur in these models. We speculate that the large inaccuracy of precipitation and possibly evaporation in the tropics is one of the key factors for the inconsistent cross-equatorial mass ?ux. A reasonable cross-equatorial mass ?ux in well-balanced hemispheric air mass and moisture budgets remains a challenge for both reanalysis assimilation systems and climate modeling.     

CMIP5 model-simulated onset,duration and intensity of the Asian summer monsoon in current and future climate

A number of significant weaknesses existed in our previous analysis of the changes in the Asian monsoon onset/retreat from coupled model intercomparison project phase 3 (CMIP3) models, including a lack of statistical significance tests, a small number of models analysed, and limited understanding of the causes of model uncertainties. Yet, the latest IPCC report acknowledges limited confidence for projected changes in monsoon onset/retreat. In this study we revisit the topic by expanding the analysis to a large number of CMIP5 models over much longer period and with more diagnoses. Daily 850 hPa wind, volumetric atmospheric precipitable water and rainfall data from 26 CMIP5 models over two sets of 50-year periods are used in this study. The overall model skill in reproducing the temporal and spatial patterns of the monsoon development is similar between CMIP3 and CMIP5 models. They are able to show distinct regional characteristics in the evolutions of Indian summer monsoon (ISM), East Asian summer monsoon (EASM) and West North Pacific summer monsoon (WNPSM). Nevertheless, the averaged onset dates vary significantly among the models. Large uncertainty exists in model-simulated changes in onset/retreat dates and the extent of uncertainty is comparable to that in CMIP3 models. Under global warming, a majority of the models tend to suggest delayed onset for the south Asian monsoon in the eastern part of tropical Indian Ocean and Indochina Peninsula and nearby region, primarily due to weakened tropical circulations and eastward shift of the Walker circulation. The earlier onset over the Arabian Sea and part of the Indian subcontinent in a number of the models are related to an enhanced southwesterly flow in the region. Weak changes in other domains are due to the offsetting results among the models, with some models showing earlier onsets but others showing delayed onsets. Different from the analysis of CMIP3 model results, this analysis highlights the importance of SST warming patterns over both the tropical Pacific and Indian Oceans in affecting the modelling results. The increased atmospheric moisture content offsets some effects of the delayed onset and results in increased rainfall intensity during the active monsoon period. The deficiencies of using rainfall alone in assessing the potential changes of the monsoon system are also shown in this study.     

Vegetation dynamics: A deterministic modelling approach using the concept of spreadability

Summary Various approaches have been developed for modelling processes related to vegetation dynamics. Most of them are biogeographical models (empirical) or dynamical models. Recent development in dynamical systems analysis has led to the investigation of an original concept essentially motivated by vegetation migration. It is the so-called spreadability concept developed by El Jai et al. (1994). The purpose of this paper is to consider this new idea and to show how it can lead to dynamical models which describe the expansion of a vegetation area. We give some mathematical examples showing the migration of the system state and also present some results related to control and numerical implementation of such systems. These results are, at the moment, completely academic, but they can be usefully applied in the analysis of real ecosystems and the dynamics that govern the behaviour of these systems.With 6 Figures