Exact reconstruction with directional wavelets on the sphere

A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of a previously developed wavelet formalism developed by Antoine & Vandergheynst and Wiaux et al. The translations of the wavelets at any point on the sphere and their proper rotations are still defined through the continuous three-dimensional rotations. The dilations of the wavelets are directly defined in harmonic space through a new kernel dilation, which is a modification of an existing harmonic dilation. A family of factorized steerable functions with compact harmonic support which are suitable for this kernel dilation are first identified. A scale-discretized wavelet formalism is then derived, relying on this dilation. The discrete nature of the analysis scales allows the exact reconstruction of band-limited signals. A corresponding exact multi-resolution algorithm is finally described and an implementation is tested. The formalism is of interest notably for the denoising or the deconvolution of signals on the sphere with a sparse expansion in wavelets. In astrophysics, it finds a particular application for the identification of localized directional features in the cosmic microwave background data, such as the imprint of topological defects, in particular, cosmic strings, and for their reconstruction after separation from the other signal components.     

1975—1976年地震活动与近两年全球和中国地震活动图象的比较研究及趋势分析

根据“比较科学学”的对比研究方法,对1975—1976年全球地震和中国地震活动,与最近两年全球地震活动作了对比,并分析了1900—1990年全球范围和中国大陆地震活动的特点。 据资料分析,全球性地震活动随时间分布具有高潮期和低潮期。最强烈活动期为1940—1950年左右,Ms≥7级地震年频次为25—40次;相对活动最低潮期为1980—1988年,Ms≥7级地震年颁次只有5—12次。我国境内地震活动也有高潮和低潮活动期,目前,我国大陆处于一个新的地震活动高潮期。 1980—1988年是全球性8级地震较少时段,可能是地震能量积累过程。1990年全球地震活动的突然增强,仅半年时间内发生12次Ms≥7级地震,其中菲律宾发生8级地震,震情与1975—1976年情况相类似。 本文在对比活动图象基础上,估计了全球和中国大陆今后几年中的强震活动趋势。     

Relationships between surface-active organic substances, chlorophyll a and nutrients in the northern Adriatic Sea

Surface-active organic substances (SAS), nutrients, chlorophyll a (Chl a), dissolved oxygen (O₂), salinity (S) and temperature (T) were measured approximately monthly in the northern Adriatic Sea (NA) during two years. Results were elaborated for two stations of different trophic status. Exhaustive statistical examinations of measured variables were performed to contribute to better understanding of the processes and interdependence of the measured parameters. The results of those analyses allowed the region to be described based on several groups of data relevant for particular processes. Chl a appear to be independent parameter; orthosilicate, nitrite and ammonium represent the parameter group most relevant for regeneration processes; the second group includes nutrients dominant in freshwater inputs (orthophosphate and nitrate), while in the third group are parameters related to primary production processes (T, O₂, organic phosphorus and SAS). Probably due to time lags between nutrient uptake and phytoplankton growth as well as between cells growth/division and SAS release, both, the correlation between nutrients and Chl a and the correlation between Chl a and SAS were not statistically significant. Although significantly higher nutrient and Chl a concentrations were found in the mesotrophic western part of the region in comparison to the oligotrophic eastern part, the SAS concentration differences were less marked. It is assumed that more OM is produced, but also at the same time remineralized, at the mesotrophic western part, leading to higher concentrations of regenerated nutrients there. Presence of different phytoplankton taxa and/or fractions (micro and nano) at the two stations may have also contributed to minimize the difference in SAS contents. Higher SAS acidities were noticed in the mesotrophic than in the oligotrophic part.     

广东省产业结构发展水平的空间格局研究

以广东省的市域为经济单元,利用空间自相关分析和密度分析法,对1994—2015年广东省产业结构发展水平空间格局进行了研究。结果表明:广东省逐渐形成了以广州、深圳、东莞为中心的第三产业圈,周边城市为第二产业外圈,并逐渐向四周扩散的圈层式空间格局。珠三角地区产业结构发展水平较高,其他地区相对落后。全省的全局空间自相关性比较高,产业发展水平的空间聚集特征明显,高-高区域集中在珠三角地区,低-低区域主要分布在其他地区,有较明显的两极分化异质性。     

Generalization of TOPMODEL for a power law transmissivity profile

A generalization of the TOPMODEL equations for a power law vertical profile of hydraulic conductivity is introduced. The exponential profile of TOPMODEL is obtained as a limit case of the new general form. © 1997 John Wiley & Sons, Ltd.     

Landsat 8陆地成像仪影像的缨帽变换推导

针对Landsat 8陆地成像仪影像,该文提出了一种缨帽变换系数的推算方法。利用准同步的Landsat ETM+影像缨帽变换结果为目标值,采用普鲁克算法对不同地理分布下的陆地成像仪影像样本点的主成分轴分别进行旋转,得到相应的初始变换系数;通过广义普鲁克分析对所得初始变换系数进行平均化,并以格拉姆-施密特算法保持其正交性,最终得到基于陆地成像仪大气表观反射率数据的缨帽变换系数。验证结果表明,与现有陆地成像仪变换系数相比,该文提出的缨帽变换精度相对较高,误差较小,变换后的不同地物覆盖类型具有更好的可分性。     

Frequency and variability of missing tree rings along the stems of Pinus halepensis and Pinus pinea from a semiarid site in SE Spain

We studied the occurrence of missing rings (MR) around and along the stems of three Pinus halepensis and three Pinus pinea trees growing in a semiarid Mediterranean site in SE Spain. Tree-ring analyses were performed along 8 radii on stem discs taken at 1 m distances from the base to the top of the trees. The tree rings analysed showed that 19% were missing in P. halepensis and 10% in P. pinea. MR were recorded in 61% of P. halepensis and 24% of P. pinea in the years analysed. Dry conditions from January to May and high late winter to spring temperatures seem to be the main climatic elements promoting MR in both species. In our research into P. halepensis, the frequency of MR gradually decreased from the bottom upward, but no such pattern was observed in P. pinea. Most tree rings were missing only locally (LMR), indicating that wood formation occurred every year in at least some part of a tree, and the tree rings were often discontinuous around and along the stem. Since the frequency of LMR greatly varies around and along the stem, our results suggest that serial sectioning along the stem provides more information on wood formation and responses of trees to environment than studying the samples at breast height only. The disadvantage of the technique is that, as in our study case, research is based on a limited sample size, since it requires destructive sampling with tree felling, which is not usually possible or desirable on highly vulnerable semiarid forest ecosystems.     

The restoration of fishing services and the conveyance of risk information in the Southern California Bight

Southern California's marine areas are heavily contaminated with dichloro-diphenyl-trichloroethane (DDT) and polychlorinated-biphenyls (PCBs), and fish consumption advisories (FCAs) have been issued throughout the region. Between 2002 and 2003, the Montrose Angler Survey, a large-scale survey of subsistence anglers, was developed and implemented on site in Orange and Los Angeles counties. This survey was intended to assist natural resource trustees in the development of restoration programs that will address injuries to natural resources and restore lost economic services for anglers, but the data were never fully analyzed. The trustees have shown a clear preference for ecological restoration programs that may take years to improve fishing services. In contrast, this analysis, which includes a random-parameter fishing site choice model, demonstrates that simple, inexpensive programs such as better signage to warn of FCAs and transportation to clean sites have the potential to yield substantial benefits quickly. This paper also focuses on how different ethnic minority groups are affected by FCAs, and determines how best to communicate risk information and change fishing behavior through outreach programs.     

Fault slip analysis of Quaternary faults in southeastern Korea

The Quaternary stress field has been reconstructed for southeast Korea using sets of fault data. The subhorizontal direction of the maximum principal stress (σ₁) trended ENE and the direction of the minimum principal stress (σ₃) was nearly vertical. The stress ratio (Φ = (σ₂ − σ₃) / (σ₁ − σ₃)) value was 0.65. Two possible interpretations for the stress field can be made in the framework of eastern Asian tectonics; (1) The σ_Hmax trajectory for southeast Korea fits well with the fan-shaped radial pattern of maximum principal stress induced by the India–Eurasia collision. Thus, we suggest that the main source for this recent stress field in southeast Korea is related to the remote India–Eurasia continental collision. (2) The stress field in Korea shows a pattern similar to that in southwestern Japan. The origin for the E–W trending σ_Hmax in Japan is known to be related to the mantle upwelling in the East China Sea. Thus, it is possible that Quaternary stress field in Korea has evolved synchronously with that in Japan. We suggest further studies (GPS and in situ stress measurement) to test these hypotheses.