Boundary curves for families of planar orbits

For monoparametric familiesf(x,y)=c of planar orbits, created by a planar potentialV(x,y), we introduce the notion of the family boundary curves (FBC). All members of the familyf(x,y)=c are traced in an allowable region of thexy plane, defined by the corresponding FBC, with total energyE=E(c) varying along the family. Family boundary curves are also found for two-parametric familiesf(x,y,b)=c. The relation of equilibrium points and asymptotic orbits, possibly possessed by the potentialV(x,y), to be FBC is studied.     

Inverse reconstructions of ecosystem flows in investigating regime shifts: impact of the choice of objective function

Inverse analysis is increasingly used in ecosystem modelling to objectively reconstruct a large number of unknown flows or interactions from a small number of observations. This type of analysis may be useful in relating observed regime shifts in ecosystem structure to underlying processes. Inversions of ecosystem flow networks currently use a constrained least-squares solution which at the same time minimizes the squared norm (the sum of squares) of the reconstructed flows. This minimum norm (MN) inversion is thought to be a parsimonious solution to the ecosystem flow inverse problem, but it may well not reflect how ecosystems are organised. It has been proposed instead that ecosystems evolve to maximize energy/mass flows or that they maximize the information content of the network weighted by ecosystem flows (ascendancy). We used simulated inverse experiments, where inverse analyses are applied to simulations of flow networks, to explore objective functions different than the MN generally used. We could not compute inverse solutions that maximize ascendancy because the objective function is unbounded. We could calculate inversions that maximize flows; however, these generally overestimated the simulated flows, even though the simulations were designed to maximize flows. It appears that the ecosystem flow inverse problem is too under-determined (too few data relative to the number of unknowns) to allow the use of these maximizing goal functions. We introduce a new minimization that simultaneously minimizes the squared flows and the squared differences between flows. This smoothing minimization makes the inverse flows as even as possible and it helps with some technical issues with MN inversions. The simulated inverse experiments indicated that this smoothed norm (SM) is the most robust in comparative analyses of contrasting ecosystem states, such as those that can be associated with regime shifts. Like the MN inversion, the SM inversion has no ecological basis. However, it is a conservative norm that is less likely to produce false differences between the dynamics of regimes.     

区域地质灾害危害程度等级划分探讨

区域性地质灾害危害程度等级尚无比较科学的划分方法。通过福建省区域地质灾害危害程度等级划分的探讨,采用单位面积地质灾害造成的人员死亡数、财产损失值作为“地质灾害模数”,对区域地质灾害危害程度等级进行划分,判别不同区域地质灾害严重程度,为区域地质灾害防治决策提供科学依据。     

Uncertainty as the overlap of alternate conditional distributions

An important task in modern geostatistics is the assessment and quantification of resource and reserve uncertainty. This uncertainty is valuable support information for many management decisions. Uncertainty at specific locations and uncertainty in the global resource is of interest. There are many different methods to build models of uncertainty, including Kriging, Cokriging, and Inverse Distance. Each method leads to different results. A method is proposed to combine local uncertainties predicted by different models to obtain a combined measure of uncertainty that combines good features of each alternative. The new estimator is the overlap of alternate conditional distributions.     

On Szebehely's problem for holonomic systems involving generalized potential functions

We consider the problem of finding the generalized potential function V = U _i(q ¹, q ²,..., q ⁿ)q ⁱ + U(q ¹, q ²,...;q ⁿ) compatible with prescribed dynamical trajectories of a holonomic system. We obtain conditions necessary for the existence of solutions to the problem: these can be cast into a system of n – 1 first order nonlinear partial differential equations in the unknown functions U ₁, U ₂,...;, U _n, U. In particular we study dynamical systems with two degrees of freedom. Using adapted coordinates on the configuration manifold M ₂ we obtain, for potential function U(q ¹, q ²), a classic first kind of Abel ordinary differential equation. Moreover, we show that, in special cases of dynamical interest, such an equation can be solved by quadrature. In particular we establish, for ordinary potential functions, a classical formula obtained in different way by Joukowsky for a particle moving on a surface.Work performed with the support of the Gruppo Nazionale di Fisica Matematica (G.N.F.M.) of the Italian National Research Council.     

关于我国国家基础地理信息系统数据库按内容分级的探讨——以1∶5万数据库为例

在诸多地理信息系统中,基础地理信息系统是各类地理信息系统用户的统一空间载体,面向全社会和各专业部门,因而国家基础地理信息系统数据库的产品需求既是最广泛的,也是最复杂的。本文针对社会上不同行业、部门对国家基础地理信息系统数据库产品的不同需求程度,以1∶5万数据库为例,采用调查、统计分析和空间分析的方法,把国家基础地理信息系统数据库按内容创造性地分为三个等级,并得出“国家基础地理信息1∶5万数据库内容等级划分方案”,为下一步三级数据库产品生产提供了参考。     

华北地台北缘地球物理场特征与金属矿床预测

对华北地台北缘的地球物理场特征进行了探讨,根据重、磁异常数据反演计算了该地区的莫霍界面、居里界面、磁性界面的起伏.利用地球物理场资料和反演计算结果对该地区的构造格架和断裂进行了推断,同时预测了9个成矿远景区:(1)集宁一呼和浩特金成矿区;(2)张家口一赤城金、银多金属成矿区;(3)密云一高岭金、铜成矿区;(4)青龙一马兰庄金成矿区;(5)秦皇岛、金多金属成矿区;(6)郝家营多金属成矿区;(7)承德地区金、多金属成矿区;(8)赤峰一喀喇沁旗金成矿区;(9)宁城东金、多金属成矿区.     

县级农用地分等评价单元划分方法评析

叠置法、地块法、详查图斑法和动态网格法是划分农用地分等评价单元的四种主要方法。该文结合实例 ,对以上四种划分方法作了介绍 ,并逐一比较、评析了其优缺点、适用地域和注意事项     

Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data

This paper presents the extension of the self-calibrating method to the coupled inverse modelling of groundwater flow and mass transport. The method generates equally likely solutions to the inverse problem that display the variability as observed in the field and are not affected by a linearisation of the state equations. Conditioning to the state variables is measured by an objective function including, among others, the mismatch between the simulated and measured concentrations. Conditioning is achieved by minimising the objective function by gradient-based methods. The gradient contains the partial derivatives of the objective function with respect to: log conductivities, log storativities, prescribed heads at boundaries, retardation coefficients and mass sources. The derivatives of the objective function with respect to log conductivity are the most cumbersome and need the most CPU-time to be evaluated. For this reason, to compute this derivative only advective transport is considered. The gradient is calculated by the adjoint-state method. The method is demonstrated in a controlled, synthetic study, in which the worth of concentration data is analysed. It is shown that concentration data are essential to improve transport predictions and also help to improve aquifer characterisation and flow predictions, especially in the upstream part of the aquifer, even in the case that a considerable amount of other experimental data like conductivities and heads are available. Besides, conditioning to concentration data reduces the ensemble variances of estimated transmissivity, hydraulic head and concentration.     

关联度分析法在确定土地定级因素权重中的应用

从关联度分析法的基本原理入手，介绍了应用关联度分析法确定土地定级因素权重的具体方法，探讨了关联度分析法运用于土地定级因素权重确定的可行性。