Second kind Chebyshev operational matrix algorithm for solving differential equations of Lane–Emden type

In this paper, we present a new second kind Chebyshev (S2KC) operational matrix of derivatives. With the aid of S2KC, an algorithm is described to obtain numerical solutions of a class of linear and nonlinear Lane–Emden type singular initial value problems (IVPs). The idea of obtaining such solutions is essentially based on reducing the differential equation with its initial conditions to a system of algebraic equations. Two illustrative examples concern relevant physical problems (the Lane–Emden equations of the first and second kind) are discussed to demonstrate the validity and applicability of the suggested algorithm. Numerical results obtained are comparing favorably with the analytical known solutions.     

西北内陆中心城市物流企业空间分异及区位选择——以兰州市为例

城市物流企业的空间分布决定物流空间格局、影响城市综合资源和生产空间的合理配置。以西北内陆中心城市——兰州市为案例区,基于微观物流企业数据并运用空间分析方法刻画了兰州市物流企业的空间分布及类型分异特征,进一步通过负二项回归模型探究了其区位选择的影响因素。结果表明：（1） 兰州市物流企业空间分布不均衡特征显著,总体呈现出“中心为主、远郊和近郊为辅,且沿城市交通主干道呈寄生状分布”的分异格局,具体可归纳为“多中心极化”、“中心极化”、“多中心外扩”、“中心外扩”、“整体极化”与“局部外扩”并存5种空间组织形态。（2） 物流企业呈现出“两心两翼四组团”的空间集聚特征,就不同类型而言,运输型和综合型物流企业呈现出“地域均衡化,类型多元化”集聚特征,货代型、快递型及仓储型物流企业则呈现出“片区集聚化,类型集群化”集聚特征。（3） 物流企业空间分异格局与类型分异特征受交通条件、集聚因素、政府政策、土地价格和城乡差异等多元因素影响,其中交通条件、集聚因素以及政府政策对行业整体在区位选择中的影响最为显著。（4） 从企业类型来看,货代型、综合型物流企业的区位选择受集聚因素影响最为显著;快递型、运输型物流企业则较为关注交通条件;仓储型物流企业对政府政策更为敏感。研究结果在丰富城市物流企业区位理论和研究案例的同时,对我国西北内陆中心城市物流企业空间布局优化具有重要的参考价值。     

Deterministic sensitivity analysis for a model for flow in porous media

A deterministic method for sensitivity analysis is developed and applied to a mathematical model for the simulation of flow in porous media. The method is based on the singular value decomposition (SVD) of the Jacobian matrix of the model. It is a local approach to sensitivity analysis providing a hierarchical classification of the directions in both the input space and of those in the output space reflecting the degree of sensitiveness of the latter to the former. Its low computational cost, in comparison with that of statistical approaches, allows the study of the variability of the results of the sensitivity analysis due to the variations of the input parameters of the model, and thus it can provide a quality criterion for the validity of more classical probabilistic global approaches. For the example treated here, however, this variability is weak, and deterministic and statistical methods yield similar sensitivity results.     

Preliminary attempt to distinguish the domesticated pigs from wild boars by the methods of carbon and nitrogen stable isotope analysis

Despite great achievements in the origins of domestic pigs made by the methods of zooarchaeology and molecular biology, how to scientifically distinguish the domesticated pigs from wild boars during the early stage of pig domestication is still poorly understood. Compared to wild boar’s diets which come from the natural environment, the diets of domestic pigs are more easily influenced by human feeding activities. Therefore, in principle, exploration of the dietary differences among pigs and under-standing the impact on pig diets fed by humans can have great potential to differentiate between wild boars and domesticated pigs. To reveal dietary differences among pigs and distinguish the domesticated pigs from wild boars based on comparison with the diets of humans and other animals, we analyzed the carbon and nitrogen stable isotopes of human bones from Xiaojingshan Site and animal bones from Yuezhuang Site, both of which belong to Houli Culture in Shandong Province and date to about 8500-7500 years ago. The mean δ¹³C value ((−17.8 ± 0.3)‰) and δ¹⁵N value ((9.0±0.6)‰) in human collagen indicate that although millet agriculture began it was not the main subsistence strategy as millets are typical of C₄ plants and that humans made a living mainly by gathering, hunting or raising some domesticated animals. The δ¹³C value (−16.1‰) and δ¹⁵N value (6.9‰) in the bovine suggest that C₃ plants were dominant in its diet with some C₄ plants complemented. The fish has lower δ¹³C value (−24.9‰) and higher δ¹⁵N value (8.8‰) than the bovine, which is the characteristic of the isotopic values from Eurasian freshwater fish. Based on the differences in carbon and nitrogen isotope values, the pigs can be divided into three groups. A group, composed of two pigs, has low δ¹³C values (−18.1‰, −20.0‰) and low δ¹⁵N values (4.7‰, 6.0‰). B group, only one pig, has the highest δ¹³C value (−10.6‰) and mediate δ¹⁵N value (6.4‰). As for the C group, also only one pig, low δ¹³C value (−19.0‰) and the highest δ¹⁵N value (9.1‰) are observed. Previous studies on the stable isotopes from modern or ancient wild boars’ bones have suggested that C₃ plants are predominated in their diets and that their δ¹⁵N values are close to those in herbivores and far from those in carnivores. Based on the comparison with the isotope values from humans, the wild boars and the domestic pigs from Xipo Site in Henan 6000-5500 years ago and Kangjia Site in Shaanxi 4500-4000 years ago, we conclude that A pig group belongs to wild boars while B and C groups can be attributed to domesticated pigs. Supported by Max-Planck Society and Chinese Academy of Sciences, Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX3.SYW.N12), National Natural Science Foundation of China (Grant No. 40702003) and President Funding of Graduate University of Chinese Academy of Sciences     

滨海城市地区地质环境是特色及与地质灾害的成生联系

分析了我国滨海城市地区地质环境的地域分异规律,研究了它与地质灾害的成生联系。     

红树植物木榄(Bruguiera gymnorrhiza)种群遗传变异与遗传分化的初步研究

研究了我国红树林分布区内3个木榄种群的遗传变异和遗传分化．在种水平和种群水平上,期望杂合度分别为0．293和0．268,观察杂合度分别为0．274 5和0．270 5．种群间遗传多样性为0．083 0,表明总的遗传变异中有8．3％来自种群问．基因流较为顺畅,为3．34．     

黄土高原作物产量及水土流失地形分异模拟

退耕坡地是近年来黄土高原整治生态环境和控制水土流失的有效措施。基于WIN_YIELD 软件, 以延安燕沟流域为例,利用2005 年延安站的逐日气象数据和燕沟流域地貌、土壤及土地利用等资料, 模拟分析了不同地形高程、坡度和坡向条件下不同作物产量及水土流失的分异特征。结果表明： 在黄土高原, 地形坡度是影响作物产量、径流和泥沙的重要因素, 地形高程和坡向的影响普遍较微弱; 地形坡度越大, 作物产量越低, 高粱和玉米在坡度为25^o 时的产量模拟值分别较0^o 时下降15.44%和14.32%, 大豆、绿豆和马铃薯的下降幅度依次为5.26%、4.67%和3.84%; 产生径流和泥沙随地形坡度的增大而增大, 在坡度20^o左右存在一个高值区间; 不同作物的水土保持效益由高到低依次为大豆、绿豆(豆类)、马铃薯、玉米和高粱; 坡度小于5^o的坡耕地可以不进行梯田改造, 坡度大于15^o 的坡耕地应及早实现退耕还林还草。     

洞庭湖区土壤实测碳量的分布规律及其对全球变化的响应

研究区域土壤碳库的分布特征对于全球变化研究、土壤肥力和生态系统的功能评价具有重要意义。在缺乏长期实测资料情况下,国内外多以模型、第二次土壤普查资料或较稀的实测数据进行研究。文中利用洞庭湖区生态地球化学调查实测数据,研究影响该区土壤碳分布的因素认为区域土壤碳量处于全国的中、高级水平;地质地貌条件是影响土壤无机碳量分布的最重要因素;土壤类型对土壤碳量有影响;本区水土流失强度对表层土壤总有机碳量影响不大;经济林、竹林的土地利用方式及防治土壤潜育化有利于土壤的碳储存;从TOC等沉积的时空演化规律说明,本区环境变化是对全球环境变化的响应,为区域土地利用、促进土壤碳固定及全球环境变化研究提供了依据。     

中国柑橘生产空间变迁及其驱动因素

综合运用产业集中度、探索性数据分析(ESDA)、产业重心模型、空间杜宾模型等方法对中国柑橘生产空间演变特征,以及驱动因素进行实证分析.结果显示:1978-2015年中国柑橘生产空间呈现扩张态势,可分为急剧增长期(1978-1991年)、低速增长期(1992-2000年)、稳步增长期(2001-2015年).中国柑橘生产...     

湘中锡矿山式锑矿锑与砷、金的共生分异现象

通过湘中锡矿山式锡矿矿化蚀变特征及矿化蚀变岩石微量元素统计分析，阐述了成矿作用中锑与金、砷共生分异的现象，并以因子分析为手段，提取成矿作用中最主要的两个特征因子，综合地质分析，指出锑矿成矿过程中主要包含有两种地质作用：硅化与锑矿化。硅化和锑矿化分别同砷、金富集和锑矿质沉淀析出相联系，从而造成锑与金、砷共生分异。硅化作用主要在成矿早期，温度较高（200－300℃），砷、金主要在这一阶段析出。锑矿化则集中发生在成矿作用晚期，温度较低（100－200℃），辉锑矿以裂隙充填方式沉淀成矿。对锑与金、砷共生分异的认识较好地解释了矿化带上成矿特征指示元素在元素聚类分析中不相关的矛盾。