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1.
Computational aspects in use of entropy theory in predicting water quality levels at discontinued stations 总被引：1，自引：0，他引：1
A. Kusmulyono I. Goulter 《Stochastic Environmental Research and Risk Assessment (SERRA)》1995,9(3):215-237
The computational aspects of using a new, entropy-based, theory to predict water quality values at discontinued water quality monitoring stations are discussed. The main computational issues addressed are the level of discretization used in converting the continuous probability distribution of water quality values to the discrete levels required for the entropy function, and the choice of the interval of time for which to assign the value of the water quality (period of time averaging) through the entropy function. Unlike most cases of entropy applications involving discretization of continuous functions the results of using entropy theory to predict water quality values at discontinued monitoring stations in this application appear to be insensitive to the choice of the level of discretization even down to the very coarse level discretization associated with only eight intervals. However, depending on the length of record available the choice of the time interval for which the water quality values are assigned (period for time averaging) appear to have a significant impact on the accuracy of the results. 相似文献
2.
小波模极大值去噪算法中将高频小波系数全部当做噪声处理, 忽略了高频小波系数中仍含有的有用信息, 从而导致了模极大值传播点错选现象以及计算出的噪声方差中仍含有用信息． 针对这些问题, 提出了小波熵与相关性相结合的小波模极大值去噪算法． 将高频小波系数进行相关处理, 确定有效信号的位置; 将最大尺度上的高频小波系数划分成若干个小区间, 计算各区间小波熵; 以小波熵最大区间的高频小波系数的平均值作为噪声方差, 根据Donoho提出的阈值公式计算最大尺度上的阈值; 经阈值比较得到的模极大值点位置与相关处理得到的有用信息的位置进行比较, 保留相同位置的模极大值, 剔除位置不同由噪声引起的模极大值点; 采用即兴(Adhoc)算法逐级搜索各尺度上的模极大值, 并用交替投影算法进行重构． 该算法实现了阈值的自适应选取, 并有效解决了去除错选模极大值传播点的问题． 将本算法和传统去噪方法用于仿真信号处理中, 经对比分析验证了本算法的有效性． 相似文献
3.
定义了地震活动模糊熵概念，计算了唐山地震前地震活动模糊熵随时间，空间的变化，发现唐山Ｍｓ７．８地震发生前，地震活动模糊熵值下降，唐山Ｍｓ７．８地震发生在地震活动模糊熵值较低的地方，这符合大地震前震源区地震活动从无序趋向有序的规律，地震活动模糊熵反模糊因子与震群活动熵统一起来，比震群活动熵更突出地反映地震活动异常。 相似文献
4.
地震岩相识别能够提供具有不同储层特征的岩相分布信息,对岩相识别的不确定性开展定量评价分析可降低后期油藏建模与储层评价的风险.考虑了地震岩相识别中测井岩相定义、岩石物理建模、井震尺度匹配及地震反演等环节的不确定性对岩相识别的影响,基于概率统计方法,引入熵函数实现了地震岩相识别不确定性定量评价,并结合岩相概率、重建率等多角度综合定量分析不确定性的构成及传递特征,系统地实现了地震岩相识别不确定性评价流程的整体连通.提出了结合属性交绘特征约束反演参数空间,提高地震岩相识别运算效率.模拟数据分析表明利用熵函数可精确实现岩相识别不确定性地定量表征,利用属性交绘特征约束参数空间既大幅度减少运算量,也可降低地震岩相识别的不确定性. 相似文献
5.
Vicente de P. Rodrigues da Silva Adelgicio F. Belo Filho Vijay P. Singh Rafaela S. Rodrigues Almeida Bernardo B. da Silva Inajá F. de Sousa 《水文科学杂志》2017,62(7):1029-1038
Using the Shannon entropy, the space–time variability of rainfall and streamflow was assessed for daily rainfall and streamflow data for a 10-year period from 189 stations in the northeastern region of Brazil. Mean values of marginal entropy were computed for all observation stations and entropy maps were then constructed for delineating annual and seasonal characteristics of rainfall and streamflow. The Mann-Kendall test was used to evaluate the long-term trend in marginal entropy as well as relative entropy for two sample stations. The marginal entropy values of rainfall and streamflow were higher for locations and periods with the highest amounts of rainfall. The entropy values were higher where rainfall was higher. This was because the probability distributions of rainfall and the resulting streamflow were more uniform and less skewed. The Shannon entropy produced spatial patterns which led to a better understanding of rainfall and streamflow characteristics throughout the northeastern region of Brazil. The total relative entropy indicated that rainfall and streamflow carried the same information content at annual and rainy season time scales. 相似文献
6.
地震活动性总体参量Rt及其在地震预测中应用的研究 总被引：5，自引：0，他引：5
考虑到地震活动性综合分析在地震预测中的重要作用,提出一种地震活动性总体状态参量Rt。该参量由多项地震活动性预测因子构成,其中包括:地震频次、缺震、地震熵、b值和调制比,该参数描述了某时段内,多种地震活动性参量对正常状态的偏离。当Rt=1时,地震活动状态是稳定的,反之,当Rt<1时,则表明地震活动处于不同程度的不稳定态。文中对华北、东北和西北地区地震以及矿山地震的Rt值在强事件前后随时间的变化进行了研究,初步结果表明:在强震或较大矿震前Rt值明显偏离1。同时,对Rt值的地震预测效能进行了检验评估。 相似文献
7.
对强震前的时序数据进行统计计算研究，发现若以特定地震带的时序数据为样本集，在强震前无标度区的跨度会相应地变长，反映出自组织程度的变化，以川滇地震带历史记录数据分析为例，若无标度区出现持续增长的征兆，则标志着地震活跃期的到来，同时可能伴有7级左右的地震，对于有的地震带关联维数出现变化不平缓的情况，也预示着地震活跃期的到来。但如果以地理区域划分如台湾省及全国的发震情况作为研究对象则无此规律。该结论在一定程度上可以提供一个强震发生中期预测的参考指标。 相似文献
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9.
本文利用藏北地区三口天然气水合物钻孔测温数据,在分析样品热导率测试结果基础上,计算了藏北地区的热流值.对于样品热导率值,首先根据样品孔隙度对实验室测试结果进行了饱水校正,计算热流时采用的是对应井段的岩石热导率饱水校正值的厚度加权平均值.地温梯度以三口钻孔48 h的测温数据为基础,回归三口井的地温梯度,计算时去除了浅部受地表温度和冻土带对温度影响的数值.A钻孔地温梯度分为200~438 m和438~882 m两段回归,分段热流的加权平均值作为钻孔热流值,计算结果为42.7 mW·m-2; B钻孔和C钻孔回归地温梯度时未分段,热流计算结果分别为58.3 mW·m-2、70 mW·m-2.综合分析认为,岩石圈断裂、地幔上涌、碰撞造山过程中的剪切生热等因素可能造成了班公湖—怒江缝合带以南热流值较高,而北部羌塘地块热流值相对较低. 相似文献
10.
Since the mid-twentieth century, most cities worldwide have undergone a rapid expansion in urban land use. Along with the expansion, several problems, such as excessive loss of prime agricultural land and increasing traffic congestion have arisen. Thus, understanding and measurements of the expansion scale and its speed are crucial to planners and officials during urban planning and management processes. To measure such geographic phenomena, Shannon first devised entropy theory, and then Batty developed it into spatial entropy. The recently developed spatial entropy model, which was used to measure urban sprawl, introduced area to represent spatial asymmetry. However, most models did not consider spatial discretization, particularly the impact of distance. This study attempted to construct an integrated gravity-spatial entropy model to delineate distance and spatial diffusion impacts on population distribution. Then, we tested the model using Shanghai’s temporal land use and community statistical data. Application results for the new gravity-spatial model show that it is a useful tool for identifying spatial and temporal variations of urban sprawl. 相似文献
11.
余震序列性质判定单参数判据的统计研究 总被引：12，自引：1，他引：11
收集整理了1970~2004年中国大陆地区293次记录相对完备的M0≥5.0地震序列, 其中孤立型地震68次、 主余型地震174次、 多震型地震52次。 选择h值、 b值、 能量熵、 震级差等9个表征序列特征的参数, 分震后不同时段进行计算。 在0.05的置信水平下, 对每一参数及规定的主震后时段, 分孤立型地震、 主余型地震及多震型地震三类统计其总体均值及置信区间, 以此作为序列类型划分的判据。 在此基础上对序列参数的变化特征及其序列分类能力进行讨论。 总的来看, 所选参数大多具有一定的序列分类能力, 其中部分参数数值分布范围与主震震级有关, 主震不同则序列分类标准有差异, 如能量熵、 时间熵、 序列主震与最大或次大余震的震级差等参数; 部分参数数值分布范围随时间变化, 震后不同时段有不同的序列分类判据, 如归一化频次、 h值等参数; 参数的有效时段存在差异, 并且部分参数始终无序列分类能力, 如b值、 归一化能量、 平均震级等。 对有一定序列分类能力的参数, 给出具体的适用条件及与时间或序列主震震级相关的判别指标。 平均来看, 能量熵、 主震与统计时段内最大地震的震级差等参数具有相对较高的识别准确率。 相似文献
12.
V. V. Shcherbakova B. Z. Asanidze V. P. Shcherbakov G. V. Zhidkov 《Izvestiya Physics of the Solid Earth》2007,43(11):951-959
A representative collection of Upper Cretaceous rocks of Georgia (530 samples from 24 sites) is used for the study of magnetic properties of the rocks and the determination of the paleodirection and paleointensity (H an) of the geomagnetic field. Titanomagnetites with Curie points of 200–350°C are shown to be carriers of natural remanent magnetization (NRM) preserving primary paleomagnetic information during heatings to 300–350°C. The characteristic NRM component of the samples is identified in the interval 120–350°C. The Thellier and Thellier-Coe methods are used for the determination of H an meeting modern requirements on the reliability of such results. New paleointensity determinations are obtained and virtual dipole magnetic moment (VDM) values are calculated for four sites whose stratigraphic age is the Upper Cretaceous (Cenomanian-Campanian). It is shown that, in the interval 99.6–70.6 Ma, the VDM value was two or more times smaller than the present value, which agrees with the majority of H an data available for this time period. According to our results, the H an value did not change at the boundary of the Cretaceous normal superchron. 相似文献
13.
M. Emin Candansayar 《Geophysical Prospecting》2008,56(1):141-157
I investigated the two‐dimensional magnetotelluric data inversion algorithms in studying two significant aspects within a linearized inversion approach. The first one is the method of minimization and second one is the type of stabilizing functional used in parametric functionals. The results of two well‐known inversion algorithms, namely conjugate gradient and the least‐squares solution with singular value decomposition, were compared in terms of accuracy and CPU time. In addition, magnetotelluric data inversion with various stabilizers, such as L2‐norm, smoothing, minimum support, minimum gradient support and first‐order minimum entropy, were examined. A new inversion algorithm named least‐squares solution with singular value decomposition and conjugate gradient is suggested in seeing the outcomes of the comparisons carried out on least‐squares solutions with singular value decomposition and conjugate gradient algorithms subject to a variety of stabilizers. Inversion results of synthetic data showed that the newly suggested algorithm yields better results than those of the individual implementations of conjugate gradient and least‐squares solution with singular value decomposition algorithms. The suggested algorithm and the above‐mentioned algorithms inversion results for the field data collected along a line crossing the North Anatolian Fault zone were also compared each other and results are discussed. 相似文献
14.
以东经１０８°线为界，把中国大陆分为东、西两部，东部取震级Ｍ≥６的地震、西部取Ｍ≥７的地震为强地震．利用有史以来全部地震资料，针对不同情况和不同时期，系统地研究了相继两次强地震之间的时间间隔，目的在于讨论一次强地震发生之后，下一次强地震何时发生．在所有情况下地震间隔数目都随时间间隔值的增大呈明显的趋势性减小．给出了８种情况下的间隔数目统计和相应的模拟函数，以及间隔值的经验概率和相应的函数模拟概率．由此可估计时间间隔为某个值的概率，也可估计时间间隔处于某个区间的概率．反之，对于给定的概率，可估计时间间隔的值或它所处的区间． 相似文献
15.
Selecting the correct resolution in distributed hydrological modelling at the watershed scale is essential in reducing scale-related errors. The work presented herein uses information content (entropy) to identify the resolution which captures the essential variability, at the watershed scale, of the infiltration parameters in the Green and Ampt infiltration equation. A soil map of the Little Washita watershed in south-west Oklahoma, USA was used to investigate the effects of grid cell resolution on the distributed modelling of infiltration. Soil-derived parameters and infiltration exhibit decreased entropy as resolutions become coarser. This is reflected in a decrease in the maximum entropy value for the reclassified/derived parameters vis a vis the original data. Moreover, the entropy curve, when plotted against resolution, shows two distinct segments: a constant section where no entropy was lost with decreasing resolution and another part which is characterized by a sharp decrease in entropy after a critical resolution of 1209 m is reached. This methodology offers a technique for assessing the largest cell size that captures the spatial variability of infiltration parameters for a particular basin. A geographical information system (GIS) based rainfall-runoff model is used to simulate storm hydrographs using infiltration parameter maps at different resolutions as inputs. Model results up to the critical resolution are reproducible and errors are small. However, at resolutions beyond the critical resolution the results are erratic with large errors. A major finding of this study is that a large resolution (1209 m for this basin) yields reproducible model results. When modelling a river basin using a distributed model, the resolution (grid cell size) can drastically affect the model results and calibration. The error structure attributable to grid cell resolution using entropy as a spatial variability measure is shown. 相似文献
16.
Sorption behavior of Lanaset Red (LR) G on lentil straw (LS) was studied as a function of particle size, adsorbent dose, initial pH value, initial dye concentration, and contact time. Sorption kinetics data was well described by logistic model. Modified logistic equation can be used to explain effects of initial dye concentrations and contact time on the sorption of LR G with high R2 value. Freundlich model was found to be excellent in representing the equilibrium data. Thermodynamic parameters like free energy (ΔG0), enthalpy (ΔH0), and entropy (ΔS0) were calculated by the use of Langmuir constant. Thermodynamic data showed that the sorption processes were spontaneous and endothermic in nature. Desorption process suggested that strong binding and weak interactions could be formed between adsorbent surface and dye molecules. Results revealed that LS has a remarkable potential for the sorption of LR G. 相似文献
17.
The information gain of a point process model quantifies its predictability, relative to a reference model such as the Poisson
process. This is bounded above by the entropy gain, or difference between the point process entropy rates. This provides a
bound on the utility of the model as a forecasting tool, separate from the usual “goodness of fit” assessment criteria. The
stress release model is a point process with an underlying state variable increasing linearly with time, and decreased by
events. Assuming the intensity to be an exponential function of this state, we derive an analytic expression for the entropy
gain. This is illustrated, using various magnitude distributions, for earthquake data from north China, and extensions to
a multivariate linked model outlined. The results measure the effectiveness of the stress release process as a predictive
tool. Comparisons are made with a scale derived from the Gamma renewal process and using Molchan's ν-τ diagram. 相似文献
18.
M.A. Wibrin P. Bogaert D. Fasbender 《Stochastic Environmental Research and Risk Assessment (SERRA)》2006,20(6):423-433
Due to the fast pace increasing availability and diversity of information sources in environmental sciences, there is a real need of sound statistical mapping techniques for using them jointly inside a unique theoretical framework. As these information sources may vary both with respect to their nature (continuous vs. categorical or qualitative), their spatial density as well as their intrinsic quality (soft vs. hard data), the design of such techniques is a challenging issue. In this paper, an efficient method for combining spatially non-exhaustive categorical and continuous data in a mapping context is proposed, based on the Bayesian maximum entropy paradigm. This approach relies first on the definition of a mixed random field, that can account for a stochastic link between categorical and continuous random fields through the use of a cross-covariance function. When incorporating general knowledge about the first- and second-order moments of these fields, it is shown that, under mild hypotheses, their joint distribution can be expressed as a mixture of conditional Gaussian prior distributions, with parameters estimation that can be obtained from entropy maximization. A posterior distribution that incorporates the various (soft or hard) continuous and categorical data at hand can then be obtained by a straightforward conditionalization step. The use and potential of the method is illustrated by the way of a simulated case study. A comparison with few common geostatistical methods in some limit cases also emphasizes their similarities and differences, both from the theoretical and practical viewpoints. As expected, adding categorical information may significantly improve the spatial prediction of a continuous variable, making this approach powerful and very promising. 相似文献
19.
S. Ts. Akopian 《Seismic Instruments》2018,54(1):113-120
The Armenian seismic system, which has a threshold magnitude of 6.2, has been identified based on the method of seismic entropy, makes it possible to monitor nucleation of strong earthquakes in the magnitude range of 6.2 ≤ M < 6.6, as well as to assess the seismic situation in Armenia and neighboring countries. A study of energy and track diagrams has revealed a fan-shaped tectonic pattern of stress concentrations with an apex in the Kurdistan knot. The analysis of entropy accumulation in seismic cycles carried out for the hierarchy of seismic systems of the Armenian Highlands helped in the identification of prognostic criteria. The results have been compared to the dynamics of Akhurian reservoir filling in 1983–2016. 相似文献
20.
根据统计分布与信息熵理论，定义了震级信息熵Hm和地震间隔时间信息熵Ht，并推导了它们的计算公式。通过时空扫描和计算，发现强震前1～3年Hm和Ht出现低值异常，与地震有较好的对应关系，可以作为一组中期或中短期预测指标。 相似文献