矿产资源密集型区域可持续发展模式的系统动力学仿真研究

矿产资源密集型区域经济发展与人口增长、资源消耗、环境污染和体制滞后之间的矛盾日益凸显.如何协调他们之间的关系成为区域经济可持续发展的当务之急.对区域内各子系统之间的相互关系和内部作用机制进行了分析,以黑龙江省为例构建了矿产资源密集型区域可持续发展模式的系统动力学模型并对该区域的标准发展模式、传统发展模式、准绿色发展模式和绿色发展模式进行仿真模拟.结果表明:人口和谐发展、资源高效利用、环境污染有效控制、严格实施生态制度监管以及大力加强区域间融合的绿色发展模式是当前矿产资源密集型区域可持续发展模式的最佳选择.     

基于DEA的区域经济可持续发展能力的动态评价

在分析区域经济可持续发展问题的基础上,从区域经济竞争的角度提出区域经济可持续发展能力的评价问题.在此基础上,设计区域经济可持续发展能力的评价指标体系,利用数据包洛分析模型分析与研究不同区域之间的可持续发展能力的强弱变化,同时分析可持续发展能力强弱差异形成的原因,提出相应的解决方法.     

区域生态经济系统可持续发展评价的能值三元相图法

为图视化表达系统主要能值评价指标及分析指标之间的关联性,从系统资源利用结构与配置角度,将能值三元相图法应用到区域生态经济系统可持续发展评价中.以郑州市生态经济系统为实例进行研究,结果表明,通过对能值指标进行量化计算,采用能值三元相图法能够更加清晰地表达系统资源的开发利用及配置结构,说明系统的发展趋势和可持续性,为区域生态经济系统的可持续发展提供决策参考.     

煤炭城市可持续发展的系统动力学模拟与调控

煤炭城市是由人口、资源、经济与环境四个子系统构成的复杂系统.其可持续发展依赖于各子系统的合理结构和发展模式以及对系统的有效控制.将可持续发展思想与系统动力学模拟方法相结合,在分析了煤炭城市系统结构基础上,构建了煤炭城市系统动力学模型:确定生育指数、各产业投资比例、资源循环利用率等为调控参数,以典型煤炭城市鸡西市为例进行了5种发展模式的模拟和调控.结果表明:可持续发展模式与其他四种发展模式相比,取得的经济、资源、环境整体效益最大,是鸡西市发展的相对最佳方案.     

城市区域性人口承载力动态综合测度

对马尔萨斯人口增长模型进行研究,设计人口承载力发展路径和基于增长模型的隶属函数,从概率角度构建人口承载力动态综合测度模型,同时,以城市区域为研究对象,以经济作为人口承载力主导影响因素,辅之以自然、环境、资源与科技因素,构建人口承载力综合评价指标体系,多角度、多因素分析区域人口承载力,寻找人口承载短板,为人口承载力研究提供新的研究方法和视角.实证研究结论显示,研究区域人口承载力当前处于承载力强阶段,并开始向适度阶段过渡,其内部指标和子系统发展不平衡,人口系统自身发展稳定,经济和环境人口承载力强,资源和科技承载力较弱,随着区域经济的发展,在相当长一段时间内可进入适度人口阶段.     

关于黑龙江省粮食生产结构演化规律的研究

依据黑龙江省1980-2018年粮食生产情况,利用结构熵指标从粮食种植面积和粮食产量的角度来研究粮食生产结构的变动趋势,结果表明黑龙江省粮食种植与生产力度逐渐向高产量、高产值的优势粮食作物转移.基于系统科学理论,将黑龙江省主要粮食作物水稻、小麦、玉米、大豆的生产情况及其相互之间的关系看作一个系统.运用SPA联系数判断各粮食作物产量年度增长关系之间的同义反态势,并据此得出黑龙江省粮食生产结构的演化规律同时对未来短时间内的粮食生产结构的演化趋势进行预测,结果表明黑龙江省粮食生产结构调整的重点在于水稻和玉米生产情况的调整.     

关于深圳人口和病床需求的预测

医疗床位需求主要取决于人口总量和结构,而人口总量依赖于产业经济结构和经济总量,人口结构依赖于非户籍人口和户籍政策。深圳市经济发展受产业结构、经济规模、人口密度、区域面积等因素限制,根据这一特点,首先基于Logistic规律建立了分产业预测模型,然后基于人口发展与生产总值的关联建立了常住人口预测模型,最后依据相关数据分别建立了人口结构、医疗病床需求相关模型。预测结果与当地规划目标比较,显示了结果的相对合理性,这在某种程度上验证了模型的正确性。     

基于人口因素的黑龙江省农村养老金需求总量预测

随着老年人口数量和比例的不断增长,农村养老难问题日益突出.资金是养老问题的核心.通过对养老资金的预测,可以为政策的制定提供数据参考与决策依据.以黑龙江省为例,在对现行农村养老金制度进行分析的基础上,从人口因素角度对农村养老金需求总量进行预测.建立人口增量模型,依据人口统计数据,引入年龄、性别影响参数,得出人口预测结果.进行养老金需求总量预测,分析并确定了人均养老金标准,进而通过人口预测数据求得养老金需求总量数据.     

我国省域人口的时序预测模型的选择——基于预测精度、偏差和不确定性的分析

人口预测作为区域规划和政策决策的依据对于区域经济社会可持续发展有重要理论价值和现实意义.目前已有不少学者使用时序模型进行了人口预测,但从预测精度、偏差和不确定性角度考虑时序模型选择的研究几乎没有.利用ARIMA模型对我国部分具有代表性的省域进行人口预测的基础上,探讨了不同基区间、临界年及预测区间等条件下人口最优时序预测模型选择的一般性规律.研究发现,一些ARIMA模型能提供相对精确的结果,另一些则不能;线性与非线性模型在预测精度上有较大差异;历史数据长短可能导致选择不同的模型;不同精度视角下的模型选择有较强一致性,但也有一定程度的不确定性.     

人口对区域可持续发展的影响的DEA分析

探讨将DEA方法用于区域社会经济可持续发展的人口条件问题分析，提出了完全投入冗余率的概率，并以广东省为例，定量地揭示了人口数量条件对区域社会经济可持续发展的影响以及人口数量控制的具体目标值。     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].