Population growth and the development of a central place system     

Robert G. Cromley  Dean M. Hanink 《Journal of Geographical Systems》2008,10(4):383-405

This paper describes the spatial and functional evolution of a central place system as market conditions change with population growth. Utilizing a partial equilibrium optimization model, we examine the spatial response of two economic sectors to increases in market populations resulting from natural increase and migration. Response in both sectors is conditioned by threshold demand, with factor prices also affecting one of the sectors. As the central place system evolves it exhibits spatial and functional characteristics that are initially consistent with a Löschian landscape, then a Christallerian landscape at higher populations, while at even larger populations Krugman’s landscape emerges.  相似文献   

地图模型的研究     

李心玉  葛莹  张淑辉  王伟娜 《地理空间信息》2008,6(5):83-85

讨论了地图模型的实质,对地图模型的直观性、一览性、抽象性、概括性、可量测性、几何精确性、合成性、几何相似性、地理一致性、单义性、连续性、艺术性等认识论特性和表现形式的多样性、存储量的巨大性、信息传输性、信息多维动态性等信息论特性进行了重点分析了,并阐述了地图模型对计算机制图和地图分析应用的研究意义。  相似文献   

Numerical simulation of a stratigraphic model     

Véronique Gervais  Roland Masson 《Computational Geosciences》2008,12(2):163-179

A multi-lithology diffusive stratigraphic model is considered, which simulates at large scales in space and time the infill of sedimentary basins governed by the interaction between tectonics displacements, eustatic variations, sediment supply, and sediment transport laws. The model accounts for the mass conservation of each sediment lithology resulting in a mixed parabolic, hyperbolic system of partial differential equations (PDEs) for the lithology concentrations and the sediment thickness. It also takes into account a limit on the rock alteration velocity modeled as a unilaterality constraint. To obtain a robust, fast, and accurate simulation, fully and semi-implicit finite volume discre tization schemes are derived for which the existence of stable solutions is proved. Then, the set of nonlinear equations is solved using a Newton algorithm adapted to the unilaterality constraint, and preconditioning strategies are defined for the solution of the linear system at each Newton iteration. They are based on an algebraic approximate decoupling of the sediment thickness and the concentration variables as well as on a proper preconditioning of each variable. These algorithms are studied and compared in terms of robustness, scalability, and efficiency on two real basin test cases.  相似文献   

均匀设计与灰色理论在边坡稳定性分析中的应用   总被引：1，自引：1，他引：0  

杨静  陈剑平  王吉亮 《吉林大学学报(地球科学版)》2008,38(4)

采用均匀设计安排试验,运用灰色理论中的灰色关联分析考察边坡稳定性影响因素的主次.结果表明,边坡稳定性影响因素的敏感性由大到小依次为:粘聚力、内摩擦角、重度、预应力、锚索间排距、锚索长度、锚固段长度、锚固角.可见,岩体的抗剪强度指标是影响边坡稳定性的最重要参数,其次是岩体的容重,而预应力锚索的设计参数对边坡的稳定性也有一定影响.这一分析结果为边坡开挖设计和加固方案的优化提供了重要依据.  相似文献   

Non-Linear Theory and Power-Law Models for Information Integration and Mineral Resources Quantitative Assessments   总被引：7，自引：0，他引：7  

Qiuming Cheng 《Mathematical Geosciences》2008,40(5):503-532

Singular physical or chemical processes may result in anomalous amounts of energy release or mass accumulation that, generally, are confined to narrow intervals in space or time. Singularity is a property of different types of non-linear natural processes including cloud formation, rainfall, hurricanes, flooding, landslides, earthquakes, wildfires, and mineralization. The end products of these non-linear processes can be modeled as fractals or multifractals. Hydrothermal processes in the Earth’s crust can result in ore deposits characterized by high concentrations of metals with fractal or multifractal properties. Here we show that the non-linear properties of the end products of singular mineralization processes can be applied for prediction of undiscovered mineral deposits and for quantitative mineral resource assessment, whether for mineral exploration or for regional, national and global planning for mineral resource utilization. In addition to the general theory and framework for the non-linear mineral resources assessment, this paper focuses on several power-law models proposed for characterizing non-linear properties of mineralization and for geoinformation extraction and integration. The theories, methods, and computer system discussed in this paper were validated using a case study dealing with hydrothermal Au mineral potential in southern Nova Scotia, Canada.  相似文献   

Extreme value analysis of diamond-size distributions     

J. Caers  P. Vynckier  J. Beirlant  L. Rombouts 《Mathematical Geology》1996,28(1):25-43

Extreme value analysis provides a semiparametric method for analyzing the extreme long tails of skew distributions which may be observed when handling mining data. The estimation of important tail characteristics, such as the extreme value index, allows for a discrimination between competing distribution models. It measures the thickness of such long tailed distributions, if only a limited sample is available. This paper stresses the practical implementation of extreme value theory, which is used to discriminate a lognormal from a mixed lognormal distribution in a case study of size distributions for alluvial diamonds.  相似文献   

THEORY AND PRACTICE FOR COMPILING THE ATLAS OF NATURAL DISASTERS IN CHINA     

Wang Jingai 《地理学报(英文版)》1994,(Z2)

CompilinganatlasofnaturaldisastersinChinaisabasistoresearchintoregionaldisasterssystems,torevealthetemPOralandspatialpatternofnaturaldisasters,aswellastoestablishcountermeasuresopinstnamraldisasters.TaldngtheuAtlasOfNaturalDisastersinChina"**asanexample,thisarticleinquiresintotheoreticalandpracticalproblemsaboutcompilinganatlasofregionalnaturaldisasters.ThebasictheoryofcompilinganatlasOfregionaldisastershasbeenfOundedonthecombinati0nofthesciencesofdisasters,cart0graphyandregiotalmhy.Theref…  相似文献   

On　the　physical　model　of　earthquake　precursor　fields　and　the　mechanism　of　precursors＇timespace　distribution──origin　and　evidences　of　the　strong　body　earthquake──generating　model     

梅世蓉 《地震学报(英文版)》1995,(3)

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Numerical analysis of the symmetric methods     

Ji-Hong Xu  A-Li Zhang 《Astrophysics and Space Science》1995,225(2):289-297

Aimed at the initial value problem of the particular second-order ordinary differential equations,y =f(x, y), the symmetric methods (Quinlan and Tremaine, 1990) and our methods (Xu and Zhang, 1994) have been compared in detail by integrating the artificial earth satellite orbits in this paper. In the end, we point out clearly that the integral accuracy of numerical integration of the satellite orbits by applying our methods is obviously higher than that by applying the same order formula of the symmetric methods when the integration time-interval is not greater than 12000 periods.  相似文献   

Hamiltonian perturbation theory on a manifold     

Francesco Fassò 《Celestial Mechanics and Dynamical Astronomy》1995,62(1):43-69

This paper deals with Hamiltonian perturbation theory for systems which, like Euler-Poinsot (the rigid body with a fixed point and no torques), are degenerate and do not possess a global system of action-angle coordinates. It turns out that the usual methods of perturbation theory, which are essentially local being based on the construction of normal forms within the domain of a local coordinate system, are not immediately usable to study perturbations of these systems, since degeneracy makes impossible to control that the system does not fall into a singularity of the coordinates. To overcome this difficulty, we develop a global formulation of Hamiltonian perturbation theory, in which the normal forms are globally defined on the phase space manifold. The key for this study lies in the geometry of the fibration by the invariant tori of an integrable degenerate Hamiltonian system, which is described by some generalizations of the Liouville-Arnol'd theorem and is reviewed in the paper. As an application, we provide a global formulation of Nekhoroshev's theorem on the stability for exponentially long times.  相似文献