Small-world characteristics on transportation networks: a perspective from network autocorrelation

Studies on small-world networks have received intensive interdisciplinary attention during the past several years. It is well-known among researchers that a small-world network is often characterized by high connectivity and clustering, but so far there exist few effective approaches to evaluate small-world properties, especially for spatial networks. This paper proposes a method to examine the small-world properties of spatial networks from the perspective of network autocorrelation. Two network autocorrelation statistics, Moran’s I and Getis–Ord’s G, are used to monitor the structural properties of networks in a process of “rewiring” networks from a regular to a random network. We discovered that Moran’s I and Getis–Ord’s G tend to converge and have relatively low values when properties of small-world networks emerge. Three transportation networks at the national, metropolitan, and intra-city levels are analyzed using this approach. It is found that spatial networks at these three scales possess small-world properties when the correlation lag distances reach certain thresholds, implying that the manifestation of small-world phenomena result from the interplay between the network structure and the dynamics taking place on the network.      

Differences in trace metal concentrations among fluvial morphologic units and implications for sampling

 This study examines the segregation of trace metals within and between fluvial morphologic units in sand-sized and finer bed sediments in a cobble bed stream. The types of fluvial morphologic units sampled are low gradient riffles, high gradient riffles, glides, eddy drop zones, lateral scour pools, attached bars, and detached bars. Three to nine samples were collected from ten of each type of morphologic unit. All 12 metals show significantly different concentrations between some morphologic units in sediments smaller than 2 mm. Eddy drop zones and attached bars consistently have the highest metal concentrations, while low gradient riffles, high gradient riffles, and glides typically have the lowest concentrations. Metals showing the greatest between-unit variability are Al, Cr, Fe, Cu, and Ti, followed by Co, Mn, and Pb, while Mg, Mn, V, and Zn display relatively few differences between units. Lateral and longitudinal variations of metals within units are not significant, and there was no consistent, predictable variation in metal concentrations with distance downstream. Results indicate that metal studies in other gravel- and cobble-bed streams should include a reconnaissance survey to determine variations between morphologic units, stratify sampling by morphologic unit, and analyze spatial autocorrelation to determine sample spacing. Received: October 1997 · Accepted: 23 March 1998     

建筑用途的城市职住空间组织特征研究

针对现有职住空间关系的研究难以在微观维度上有效促进大城市职住功能空间的均衡发展以及规划政策与现状发展存在的时序错位问题,该文以北京市为例,从房屋建筑使用用途的角度切入,运用空间自相关分析模型、热点分析模型和职住用地比三个评价方法,同时借用ArcGIS软件平台进行空间分析与可视化表达,探究北京职住空间在乡镇尺度下的组织特征。研究发现:北京市职住空间表现为聚类分布的空间格局特征,以首都功能核心区为中心,大致呈现出环状圈层分布,北京市职住空间的“热点区”在空间分布上存在差异,而“冷点区”在空间分布上基本相同,职住空间关系存在失衡,与规划目标存在一定的偏差。提出的研究方法从微观维度分析了城市职住空间的组织特征,促进了城市规划与发展时序的有效结合,可在特大城市的职住空间关系的研究中进行推广应用。     

随机介质模型的一种构造方法

为更好地描述真实的地下介质特点,提出了一种局部随机位置或固定位置任意形状截取法并结合多尺度建模技术来共同构造随机介质模型的新方法。从现有的随机建模理论出发,在有效的建模区域内产生或者给定局部扰动位置,以此作为局部扰动分布区的中心点,引入局部扰动半径R和局部随机或给定扰动角度θ两个模型特征量,采用局部位置任意形状截取法并充填各种随机介质,从而构造各种不同的随机介质模型。给出了局部位置任意形状截取法的基本步骤和应用实例。     

山东省县域经济时空分异演化特征研究

借助GeoDA软件,运用标准差、加权变异系数、库兹涅茨比率和空间自相关等分析方法,以山东省105个县域为研究单元,从时空双重维度着手,对山东省1995—2012年县域经济差异的时间演变趋势和空间格局分异特征进行定量分析。结果发现:时间序列上山东县域经济绝对差异显著扩大,相对差异缓慢上升,极化现象显著;从空间格局来看,山东县域经济存在明显的空间自相关性,总体呈现"大异质,小均质"的空间经济格局,东部县域发达而西部县域相对落后,县域间经济发展的空间依赖性呈现出由增强到减弱的趋势,县域经济发展遵循"积累循环"法则,空间自相关集聚模式具有较高的稳定性。     

县域尺度下能源产区能源消费碳排放强度空间分异——以陕西省榆林市为例

以能源产区陕西省榆林市的12个区县为研究单元,在Geo Da和Arc GIS等软件的支持下,结合趋势分析和空间统计方法,分析2005—2010年榆林县域尺度下的能源消费碳排放强度的空间格局特征与空间分异机制。榆林各区县能源消费碳排放强度水平差异明显,总体差异呈扩大趋势,两极分化加剧。县域碳排放强度南北走向上表现出逐渐减小趋势,东西走向上具有微弱的"U"型变化态势。总体上,东北部区县碳排放强度高于西南部。各区县碳排放强度具有正的空间关联分布特征,且处于低水平非均衡空间分布状态,空间依赖性明显。结合相关性分析,榆林区县碳排放强度具有极化区、扩散区、塌陷区和传染区4个特征。"热点"主要分布在东北部三县,"冷点"主要分布于南部六县。能源资源分布不均、经济总量以及产业结构差异是造成榆林碳排放强度空间分布不均的主要原因。     

2000年以来广东省经济极化时空演变

选择崔-王指数、变异系数和空间自相关等3种方法,以地级市为基本评价单元,对2000年以来广东省的经济极化的时空演变进行了分析。研究表明：（1）广东省经济极化程度呈上升趋势;（2）2000以来,广东省极化现象明显,但是经济总量的极化现象大于人均经济总量;（3）广东省人均GDP和GDP的Moran＇s I均为正值且呈现增大趋势,经济空间集聚程度呈增大趋势,但是人均GDP的空间集聚程度大于GDP;（4）从局部空间自相关关系来看,广东省经济极化格局2000年以来处于稳定状态。     

Modeling of spatial distributions of farmland density and its temporal change using geographically weighted regression model

This study used spatial autoregression（SAR） model and geographically weighted regression（GWR） model to model the spatial patterns of farmland density and its temporal change in Gucheng County,Hubei Province,China in 1999 and 2009,and discussed the difference between global and local spatial autocorrelations in terms of spatial heterogeneity and non-stationarity. Results showed that strong spatial positive correlations existed in the spatial distributions of farmland density,its temporal change and the driving factors,and the coefficients of spatial autocorrelations decreased as the spatial lag distance increased. SAR models revealed the global spatial relations between dependent and independent variables,while the GWR model showed the spatially varying fitting degree and local weighting coefficients of driving factors and farmland indices（i.e.,farmland density and temporal change）. The GWR model has smooth process when constructing the farmland spatial model. The coefficients of GWR model can show the accurate influence degrees of different driving factors on the farmland at different geographical locations. The performance indices of GWR model showed that GWR model produced more accurate simulation results than other models at different times,and the improvement precision of GWR model was obvious. The global and local farmland models used in this study showed different characteristics in the spatial distributions of farmland indices at different scales,which may provide the theoretical basis for farmland protection from the influence of different driving factors.     

基于拓扑与形态特征的城市道路交通状态空间自相关分析

城市道路交通状态具有空间自相关特征。某一道路交通状态的变化会对其周边道路产生影响,故把握道路交通状态的空间自相关性是提高交通规划、交通预测水平的基础。然而,城市道路交通状态又具有空间异质性,即道路交通状态的影响扩散并非各向同性,其使得道路交通状态空间自相关性的度量更为复杂,因此仅从地理空间下道路之间的邻近关系出发进行分析有失偏颇。同时,城市道路具有拓扑结构特征和几何形态特征,二者对于交通状态自相关性的影响和制约,却未引起足够重视。本文从城市道路的拓扑结构特征和几何形态特征出发,提出了一种新的交通状态空间自相关路段识别规则,即基于交通状态变化的路段空间识别规则,通过拓扑社区发现方法刻画路段在空间上的聚集特征,同时,基于Stroke跟踪的几何形态概化来描述道路交通状态变化影响的空间异质性。结果表明,利用本文提出的识别规则产生的交通状态自相关路段集合,较仅考虑地理空间邻近或拓扑结构的识别规则更为合理,更好地揭示了城市道路交通状态的空间自相关特征。     

中国省域离婚率的时空格局及趋同演变研究

针对现有离婚率研究时间、空间割裂,整体性探讨不足及实证研究缺乏的问题,该文运用空间自相关、空间马尔可夫链等空间统计方法对中国大陆各省域1979—2012年离婚率数据的时空分布及趋同演变进行了研究,结果发现:除东北、西北地区离婚率一直居高不下之外,中国大陆高离婚率地区逐步向中部延伸并聚集,离婚率存在着较强的空间自相关且空间聚集现象明显;省域离婚率的"两极分化"现象和"俱乐部趋同"现象均经历了由弱到强再减弱的波动变化趋势。