A nearly analytic symplectic partitioned Runge–Kutta method based on a locally one-dimensional technique for solving two-dimensional acoustic wave equations

In this paper, we develop a new nearly analytic symplectic partitioned Runge–Kutta method based on locally one-dimensional technique for numerically solving two-dimensional acoustic wave equations. We first split two-dimensional acoustic wave equation into the local one-dimensional equations and transform each of the split equations into a Hamiltonian system. Then, we use both a nearly analytic discrete operator and a central difference operator to approximate the high-order spatial differential operators, which implies the symmetry of the discretized spatial differential operators, and we employ the partitioned second-order symplectic Runge–Kutta method to numerically solve the resulted semi-discrete Hamiltonian ordinary differential equations, which results in fully discretized scheme is symplectic unlike conventional nearly analytic symplectic partitioned Runge–Kutta methods. Theoretical analyses show that the nearly analytic symplectic partitioned Runge–Kutta method based on locally one-dimensional technique exhibits great higher stability limits and less numerical dispersion than the nearly analytic symplectic partitioned Runge–Kutta method. Numerical experiments are conducted to verify advantages of the nearly analytic symplectic partitioned Runge–Kutta method based on locally one-dimensional technique, such as their computational efficiency, stability, numerical dispersion and long-term calculation capability.     

基于像元二分模型的地表植被覆盖度估算模块化设计与实现

地表植被覆盖度是的一种应用广泛的定量遥感产品,在水文、生态、区域变化等方面都具有重要的意义。像元二分模型是应用最多的一种遥感估算地表覆盖度的方法。目前,用遥感的方法进行地表植被覆盖度估算没有完整、系统的工具,用户只能逐步进行操作,效率低下,鉴于上述情况,本文运用IDL交互式数据语言,基于ENVI二次开发了一个植被覆盖度估算程序,取得了一定的成效,对遥感定量产品的生产、应用具有一定意义。     

邮轮属性评价与品牌定位

以全球最大的邮轮点评网站——邮轮评论家为数据来源渠道，以编辑（Editor/Expert）的文本点评以及对167艘邮轮10大属性的打分数据为样本，利用词频分析、回归分析、聚类分析和方差分析等方法，对全球21个邮轮品牌的产品属性、总体评价以及品牌定位问题进行了系统研究。结果表明，对于专业型游客来说，餐饮、客房和娱乐是关注度最高的船上属性，服务、性价比和公共空间是满意度最高的船上属性，客房、餐饮、公共空间、性价比和娱乐属性对邮轮总评具有显著影响。方差分析表明，与行业界定下的品牌行为相比，基于专业型游客感知的品牌划分更有效。     

中国区域水资源系统韧性与效率的发展协调关系评价

在界定水资源系统韧性概念的基础上，综合应用赋权法、SBM-DEA模型及发展协调度模型对2000—2016年全国31个省区的区域水资源系统的效率、韧性以及两者之间的发展协调关系进行评价。结果如下：① 中国区域水资源系统效率整体上处于非有效区，在研究期间呈现出在波动中上升的趋势。② 中国区域水资源系统韧性的平均值为0.39，总体水平较低，研究期间整体上呈波动上升趋势。③ 中国区域水资源系统效率与韧性的发展度总体呈现平稳上升—较快上升—急剧下降—上升的趋势，呈倒“U”型发展；协调度在研究期间呈现波动中上升趋势，大部分省区的发展度较好，而协调度较弱。④ 2000—2016年，水资源效率与韧性的发展协调度一直维持着“东?中?西”阶梯式递减格局，失调省区的数量降低，初级协调、中级协调、良好协调省区的数量逐渐提升，整体向协调趋势发展；空间格局上呈现由2000年倒“E”型对称式分布格局向如今北部围绕天津、中部围绕上海、南部围绕广东的三级格局演变，格局分布与中国三大经济区基本吻合，可知中国水资源系统效率与韧性的发展协调水平与经济发展水平之间有明显的关系。     

乡土地理实践活动案例分析与应用——以“明光市女山古火山地质公园考察”为例

地理实践是地理科学的重要研究方法,也是中学地理学科的主要学习方式之一。中学地理实践活动应结合乡土地理资源,充分挖掘当地可供考察的自然、人文素材,形成丰富的乡土地理实践案例。本文以“女山古火山地质公园实践活动为案例”,探究乡土资源在地理实践活动中的应用。     

生物土壤结皮对风沙土和黄绵土膨胀特性的影响

作为重要的土壤物理性质，膨胀性在影响土壤导水性、持水性、抗蚀性以及土壤结构的形成和发育等方面发挥着重要作用。为了探讨生物土壤结皮（BSCs）土壤的膨胀特性及其主要影响因素，针对黄土高原风沙土和黄绵土两种典型土壤，利用膨胀仪测定并比较了有、无藓结皮及其在不同因素（初始含水量、干湿循环、冻融循环、温度）下膨胀率的差异，分析了BSCs对土壤膨胀性的影响及其与环境因素和BSCs性质的关系。结果显示：风沙土上藓结皮的膨胀率为1.93%，较无结皮增加了8.65倍；而黄绵土上藓结皮的膨胀率为2.05%，与无结皮相比降低了76.68%。藓结皮的生物量和厚度与其膨胀率在风沙土上均呈线性正相关关系（P < 0.05），在黄绵土上分别呈二次函数（P=0.02）和线性正相关关系（P=0.02）。初始含水量同时影响了土壤最大膨胀率和稳定膨胀时间，影响程度风沙土远大于黄绵土（包括藓结皮和无结皮）；干湿循环次数对无结皮土壤膨胀率的影响程度大于藓结皮土壤，其中风沙土和黄绵土上无结皮的膨胀率分别是50.00%~620.00%和-2.28%~10.81%，而两种土壤上藓结皮的膨胀率分别是-5.70%~10.88%和-10.24%~-21.46%；冻融循环下4种土壤的膨胀率均有不同程度的降低，降幅为0~18.54%。黄绵土无结皮的膨胀率受温度影响程度较大，50℃下黄绵土无结皮的膨胀率分别是25℃和35℃下的1.17倍和1.21倍。BSCs显著地改变了风沙土和黄绵土表层的膨胀性，其影响的程度和方向取决于土壤类型。同时，BSCs的膨胀性受含水量、温度、干湿以及冻融循环等关键因素影响。     

科尔沁湿草甸参考作物蒸散发模拟分析

为探明气候变化下干旱半干旱地区湿草甸参考作物蒸散发(ET₀)影响因子,使用FAO 56 P-M模型对科尔沁湿草甸ET₀进行模拟,利用涡度相关系统对模型的适用性进行评价,并通过通径分析及指标敏感性分析对ET₀的影响因子进行辨识。结果表明:(1)小时尺度模拟精度最高,日尺度次之,月尺度较差,小时尺度上晴、阴、雨3种天气条件下模拟效果不同,晴天最优,阴雨天较差。(2)ET₀年内变化呈单峰曲线状,生长季明显高于非生长季,集中在3—10月,占全年89.79%。生长季典型晴天ET₀逐小时分布特征遵循倒“U”单峰型变化规律。(3)通径分析结果显示,对ET₀的通径系数以及对回归方程估测可靠程度E的总贡献均表现为VPD(饱和水汽压差) > T_min(最低气温) > R_n(冠层表面净辐射)>u₂(2 m高度风速),即VPD为影响ET₀最重要的因子;指标敏感性分析中,在去除VPD后引起的E变化最大,说明ET₀对VPD的变化最为敏感,其次为u₂、T_min和R_n。     

2000年来中国边境城市对外贸易位序-规模分布及其影响因素

全球化背景下对外贸易活动是特定地域外向联系强度的重要表现，是边境城市区域功能的重要组成部分。运用位序-规模法则、分形理论及核密度等方法，以中国边境各城市的进出口贸易额为主要指标，剖析了中国边境地区对外贸易的规模分布特征及其影响因素。结果发现：①不同阶段的中国边境对外贸易位序-规模特征明显，位序结构内部城市次序变化较大；②位序-规模分布的无标度区变化显著，在18年内出现了4段分形表现，外贸活动的规模波动性、区域化特征明显；③影响因素表现为经济地理禀赋约束下核心城市支配效应明显、邻接地缘环境影响显著、政策导向与口岸推动、内部竞争反推空间结构协调演化四个方面；④不平衡性、集聚性在中国边境地区外贸活动中凸显，空间分布呈现为“核心-边缘”结构，当前国家层级应重点支持对外贸易优势城市，省级尺度协调域内城市对外贸易层次组织与区间联系。     

Analysis of city centrality based on entropy weight TOPSIS and population mobility:A case study of cities in the Yangtze River Economic Belt

Based on statistical data and population flow data for 2016,and using entropy weight TOPSIS and the obstacle degree model,the centrality of cities in the Yangtze River Economic Belt(YREB)together with the factors influencing centrality were measured.In addition,data for the population flow were used to analyze the relationships between cities and to verify centrality.The results showed that:(1)The pattern of centrality conforms closely to the pole-axis theory and the central geography theory.Two axes,corresponding to the Yangtze River and the Shanghai-Kunming railway line,interconnect cities of different classes.On the whole,the downstream cities have higher centrality,well-defined gradients and better development of city infrastructure compared with cities in the middle and upper reaches.(2)The economic scale and size of the population play a fundamental role in the centrality of cities,and other factors reflect differences due to different city classes.For most of the coastal cities or the capital cities in the central and western regions,factors that require long-term development such as industrial facilities,consumption,research and education provide the main competitive advantages.For cities that are lagging behind in development,transportation facilities,construction of infrastructure and fixed asset investment have become the main methods to achieve development and enhance competitiveness.(3)The mobility of city populations has a significant correlation with the centrality score,the correlation coefficients for the relationships between population mobility and centrality are all greater than 0.86(P<0.01).The population flow is mainly between high-class cities,or high-class and low-class cities,reflecting the high centrality and huge radiating effects of high-class cities.Furthermore,the cities in the YREB are closely linked to Guangdong and Beijing,reflecting the dominant economic status of Guangdong with its geographical proximity to the YREB and Beijing's enormous influence as the national political and cultural center,respectively.     

Analysis of Spatial–Temporal Evolution of Mining-Induced Fracture Field: A Case Study Using Image Processing in the Shaqu Coal Mine,China

Natural Resources Research - Mining-induced fracture plays a key role in gas drainage for gas burst-prone underground coal mines, especially for closely multilayered coal seams. The layout and...