Interstellar extinction toward the ultradeep Galactic field of the Chandra observatory from 2MASS data

We have measured the interstellar extinction in the region of ultradeep Galactic-field observations by the Chandra telescope (l ^II, b ^II) ≈ 0.1–1.42 using photometric data from the 2MASS infrared allsky survey. The angular resolution of our interstellar extinction map is 1′.8. We show that the interstellar extinction has a minimum, A _V ～ 3.4, near the center of the Chandra field of view and increases to A _V ～ 5.8–6 at the edge of the field of view. In addition, we show that the bulk of the extinction is gained in the Galactic disk and is approximately the same for all bulge stars. Our results will be subsequently used to process the Chandra data and to estimate the properties of the stellar population in this region.     

A comparison of neighbourhood relations based on ordinary Delaunay diagrams and area Delaunay diagrams: an application to define the neighbourhood relations of buildings

ABSTRACT

The aim of this article is to describe a convenient but robust method for defining neighbourhood relations among buildings based on ordinary Delaunay diagrams (ODDs) and area Delaunay diagrams (ADDs). ODDs and ADDs are defined as a set of edges connecting the generators of adjacent ordinary Voronoi cells (points representing centroids of building polygons) and a set of edges connecting two centroids of building polygons, which are the generators of adjacent area Voronoi cells, respectively. Although ADDs are more robust than ODDs, computation time of ODDs is shorter than that of ADDs (the order of their computation time complexity is O(nlogn)). If ODDs can approximate ADDs with a certain degree of accuracy, the former can be used as an alternative. Therefore, we computed the ratio of the number of ADD edges to that of ODD edges overlapping ADDs at building and regional scales. The results indicate that: (1) for approximately 60% of all buildings, ODDs can exactly overlap ADDs with extra ODD edges; (2) at a regional scale, ODDs can overlap approximately 90% of ADDs with 10% extra ODD edges; and (3) focusing on judging errors, although ADDs are more accurate than ODDs, the difference is only approximately 1%.     

Voronoi邻近关系支持下的点模式趋同提取方法

点模式及其趋同研究是揭示地学现象的产生、发展与演变,量化空间相似性分布、诠释空间分布成因的重要方式。目前,点模式研究侧重于已知频率与随机分布的一元独立性检验、距离测度下单观测值的二元相关性分析,而针对集聚过程相关性,空间拓扑与非拓扑邻近、综合多观测值的点模式趋同量化研究顾及不足。据此,以空间邻近性聚类、局部相关的多指标评价为切入点,本文提出了一种Voronoi邻近关系支持下的点模式趋同提取方法。首先,以Voronoi邻近相关表集聚算法剖分出空间独立性点模式;其次,依据Voronoi邻近关系指数测度、样本分布均值与分布方差的趋同假设,使用拉普拉斯平滑算子评价趋同度;最后,依据λ截矩阵,提取出Voronoi邻近、非Voronoi邻近关系支持下的强趋同点模式。试验以云南省腾冲市居民点数据为算例,经与点模式构建的聚类方法对比、趋同度计算与强趋同提取,验证了该方法的可行性与有效性。     

基于Matlab的Durov三线图的实现

水化学分类是实现水资源可持续开发利用的重要前提之一。Durov三线图作为主要的水化学分类图因绘制复杂而限制了其在现实中的应用,且一些常见的水化学软件也不具备绘制Durov三线图的功能。Durov三线图包括原始型Durov三线图及在其基础上演变而成的扩展型Durov三线图。通过介绍两种Durov三线图的差异、组成特征和投影原理,提出了在Durov三线图中建立坐标系的方法,并推导了将水化学数据投影到Durov三线图的公式。在此基础上,阐述了基于Matlab语言编程实现原始型Durov三线图和扩展型Durov三线图的方法和流程,并以公开发表的数据绘制了两种Durov三线图。基于相同的数据比较发现,相关水化学软件绘制的原始型Durov三线图及一些公开发表的研究成果中的扩展型Durov三线图与本文所用Matlab语言绘制的Durov三线图相一致,表明该程序准确可行。本程序既可以实现原始型Durov三线图的绘制,也可以实现常见水化学软件不能完成的扩展型Durov三线图的绘制。该程序的应用,将有助于Durov三线图的高效应用,特别是扩展型Durov三线图的应用不但可以作为水化学分类的依据,同时还可以指示某些水化学过程。     

Combining spatial data with survey data improves predictions of boundaries between settlements

Studies of land-use change often require the combination of socioeconomic survey data with spatially continuous maps of land-cover change. One approach is to define maps of land ownership, assuming that all land-use change can be attributed to the owners or managers of each parcel of land. Unfortunately, records of administrative boundaries between towns and villages are commonly unavailable in developing countries and prohibitively costly or time consuming to map for individual projects. However, point locations of the settlements themselves can be obtained easily from existing maps or remotely-sensed imagery. In this paper we compare three methods – circular buffers, unweighted Voronoi polygons (sometimes referred to as Thiessen polygons) and multiplicatively weighted Voronoi polygons – for estimating boundaries between villages in an agricultural landscape in West Africa. The benefits and limitations of each approach are discussed, and their accuracy assessed using 98 independently collected GPS coordinates of village boundaries. We present a novel method for generating and optimising weights for multiplicatively weighted Voronoi polygons using survey data of village sizes from a subset of villages. By using both spatial information and survey data from villages, we show that multiplicatively weighted Voronoi polygons outperform other methods of predicting village boundaries, and increase the correlation coefficient between surveyed village area and mapped areas from 0.18 to 0.68 compared with more commonly used unweighted Voronoi polygons. Our method of weighting Voronoi polygons can be implemented with data and software commonly available to researchers and non-governmental organisations.     

The shape of the seismic response interaction diagram: The effect of combination rules in response spectrum analysis

This paper deals with the construction of seismic response interaction diagrams that show the correlation of multiple responses and are important to determine the critical combination of modal responses. Many design problems, such as column design under combined axial force and bending moments, fall into this category. We address general modal and multicomponent combination rules and study their effect on the shape of the response interaction diagrams, thus extending previous work done for quadratic combination rules. Special attention is given to multilinear combination rules which lead to polyhedral shapes. Having developed efficient methods to deal with polyhedral shapes, we explore the idea of adopting a multilinear modal combination rule to compose with a multicomponent percentage rule.     

Geochemical evolution of groundwater in hard-rock aquifers of South India using statistical and modelling techniques

ABSTRACT

Multivariate statistical analysis and inverse geochemical modelling techniques were employed to deduce the mechanism of groundwater evolution in the hard-rock terrain of Telangana, South India. Q-mode hierarchical cluster analysis (HCA) and principal component analysis (PCA) were used to extract the hydrogeochemical characteristics and classify the groundwater samples into three principal groups. Use of thermodynamic stability diagrams and inverse geochemical modelling in PHREEQC identified the chemical reactions controlling hydrogeochemistry of each of the groups obtained from statistical analysis. The model output showed that a few phases are governing the water chemistry in this area and the geochemical reactions responsible for evolution of groundwater chemistry along the flow path are (i) dissolution of evaporite minerals (dolomite, halite); (ii) dissolution of primary silicate minerals (albite, anorthite, K-feldspar, biotite); (iii) precipitation of secondary silicate minerals (kaolinite, quartz, gibbsite, Ca-montmorillonite) along with anhydrite and calcite; and (iv) reverse ion exchange processes.     

面向城市平原地区暴雨积涝汇水区分级划分的方法研究

汇水区划分是分布式水文模型计算的基础。针对现有方法使用DEM在平原城市地区划分的汇水区不符合实际地形情况,本文提出了一种面向城市平原地区分级划分汇水区的技术方法。该方法从城市用地分类角度出发将城市分为中心城区和郊区,依据城市排水主干水系进行汇水区一级划分,将影响中心城区和郊区的不同径流因子分别融入DEM中,利用细化的DEM进行二级汇水区划分;在此基础上,根据实际汇流情况,结合Voronoi图,对中心城区进行三级划分,最后通过GIS技术进行修正。该方法既结合了传统DEM生成子流域的算法,又融入了城市区域地物地貌特点,能更好地满足城市地区的需要。选择上海市嘉定区西北部地区为实验样区,利用该方法进行汇水区划分比较表明,其对于城市平原地区具有很好的适用性。     

山西省城镇空间分布特征Voronoi图建模分析

随着我国新型城镇化规划的实施,如何识别城镇发展的不均衡,以及产生这些差异的原因已成为城镇化建设亟待解决的问题。本文利用Voronoi图的空间剖分特性,将城市中心性强度作为权重引入模型,建立山西省地级市加权Voronoi图,分析其空间影响范围,以判断山西省地级市发展的合理性和局限性;利用Delaunay图发现城市“空洞”,结合道路河流等矢量信息,通过叠加分析识别出待优先发展城镇;通过常规Voronoi图和变异系数C_v值判断本文模型的合理性和可行性。研究发现,山西省太原市的空间影响范围较大,导致周边地级市东西部发展较为不均衡;繁峙县、灵石县、新绛县条件较好,可以优先发展;通过常规Voronoi图和C_v值验证表明,本文所得结论与实际检验相符合。     

顾及出租车OD点分布密度的空间Voronoi剖分算法及OD流可视化分析

为对城市各区域出租车OD轨迹流进行可视化分析,需对城市作空间剖分处理,以产生研究所需的子区域。传统的欧氏距离空间剖分方法,在空间上进行硬性切割不能有效地顾及城市人、物的时空流动模式,因此,本文提出了一种空间约束条件下,顾及出租车OD点分布密度的网络Voronoi剖分方法。首先,将道路网的边细分成线性单元,然后,设定空间约束以产生合适的发生元,让各发生元在路网上以线性单元为单位扩散步长,以不同的速度向周围联通道路进行扩散,最终将城市空间划分成一系列与出租车OD点分布密度相适应的空间子区域。利用OD流可视化理论与技术,基于划分的城市子区域分析出租车在这些区域的时空流动,并结合图论知识探究城市空间OD流拓扑图结构的变化,分析不同划分区域出租车流动模式。最后,通过北京地区一天的出租车轨迹数据,对本文提出的算法及分析方法进行了实验。