Least squares best-fit circles (with applications to Mohr''s diagram)

Procedures are outlined for the selection of a least squares best-fit circle to data points defined by rectangular Cartesian coordinates. Equations are derived to allow fitting of circles centered on the x-axis as well as off-axis Mohr circles. These procedures are applicable to the estimation of second-order tensors such as stress and strain by means of Mohr's diagram.     

L_p估计的计算问题

本文对Ｌｐ估计的直接算法进行了详细的分析和讨论，由于直接算法效率低，文中提出了一种快速算法（残差逐步下降法），采用可变尺度因子来修正Ｈｕｂｅｒ的常数尺度因子。最后，以实例加以分析和说明。     

Generalized cross-validation for covariance model selection

A weighted cross-validation technique known in the spline literature as generalized cross-validation (GCV), is proposed for covariance model selection and parameter estimation. Weights for prediction errors are selected to give more importance to a cluster of points than isolated points. Clustered points are estimated better by their neighbors and are more sensitive to model parameters. This rational weighting scheme also provides a simplifying significantly the computation of the cross-validation mean square error of prediction. With small- to medium-size datasets, GCV is performed in a global neighborhood. Optimization of usual isotropic models requires only a small number of matrix inversions. A small dataset and a simulation are used to compare performances of GCV to ordinary cross-validation (OCV) and least-squares filling (LS).     

地质统计学方法在井间储层参数预测中的应用

本文探讨了利用地质统计学中的三种克立格方法进行井间储层参数预测的原理及方法,并在某油田中应用,通过最优性检验,建立起了适合研究区地质特点的各种储层参数的最佳估计模型,揭示了储层参数在三维空间的变化规律,为建立三维储层预测模型开辟了新的方法。     

水库地震震级预测的回归模型

对于大型水库,在作出诱震危险性评估以后,需要预测可能的发震震级.利用水库综合影响参数E与大量震例的实发震级进行回归,可以获得预测方程.本文依据文献的资料,研究回归模型的精度及误差问题,并给出经过优化后的预测方程.     

平行走滑断层相互作用的粘弹模型和减震作用

研究了二维粘弹性介质中平行走滑断层的相互力学作用及其地震活动性的影响。当一条断层发生滑动,将导致平行断层面上剪切应力减小,因此,可能推迟平行断层发生滑动,推迟时间在几年至几百年的范围内,这取决于发生滑动的断层与平行断层之间的距离,以及平行断层自身应力积累孕育地震过程经历的时间。     

Adaptive neuro-fuzzy inference system coupled with shuffled frog leaping algorithm for predicting river streamflow time series

ABSTRACT

Accurate runoff forecasting plays a key role in catchment water management and water resources system planning. To improve the prediction accuracy, one needs to strive to develop a reliable and accurate forecasting model for streamflow. In this study, the novel combination of the adaptive neuro-fuzzy inference system (ANFIS) model with the shuffled frog-leaping algorithm (SFLA) is proposed. Historical streamflow data of two different rivers were collected to examine the performance of the proposed model. To evaluate the performance of the proposed ANFIS-SFLA model, six different scenarios for the model input–output architecture were investigated. The results show that the proposed ANFIS-SFLA model (R² = 0.88; NS = 0.88; RMSE = 142.30 (m³/s); MAE = 88.94 (m³/s); MAPE = 35.19%) significantly improved the forecasting accuracy and outperformed the classic ANFIS model (R² = 0.83; NS = 0.83; RMSE = 167.81; MAE = 115.83 (m³/s); MAPE = 45.97%). The proposed model could be generalized and applied in different rivers worldwide.     

广义帕累托分布在广东重现期风速计算中的应用

利用广东省86个国家气象观测站建站以来近70a的逐月最大风速序列和近20a(1999—2018年)的逐月最大风速序列,基于POT抽样法,分别采用三参数广义帕累托分布函数对各站的重现期风速进行了概率计算,计算过程中三参数广义帕累托分布函数分别采用矩估计(MOM)、极大似然估计(MLE)、似然矩估计(LM)和概率权矩估计(PWM)等4种参数估计方法,结合表征参数估计优良性的指标:均方根误差RMSE、拟合相对偏差和显著性水平为0.05的科莫戈洛夫检验拟合适度指标K_f对拟合效果进行检验,结果表明:基于POT抽样的概率权矩估计(PWM)拟合效果最好。     

GPM卫星降水数据在沿海地区的适用性分析——以三亚市为例

选取2016年1—12月GPM(Global Precipitation Measurement)卫星的IMERG月尺度降水数据为研究对象,以同时期的气象站点实测降水数据为参考,利用相关系数、标准偏差、相对误差等多种统计分析指标对其在沿海地区估测能力进行评价。结果表明:IMERG月尺度降水量与站点实测降水数据相关性较好,IMERG估测的降水与气象站点实测降水量的时空变化规律也较为一致,但是量化到具体数值而言,其对山区、海岛站的估测能力不及地势平坦的区域;同时,选取降水个例对IMERG日尺度和半小时尺度降水数据的分析表明,日尺度IMERG估测的不同等级降水量也存在偏差,半小时尺度IMERG降水数据对海岛站的降水估测偏高。总体而言,IMERG降水数据对降水的时间变化规律和空间分布格局估测较为合理,但是对山区、海岛地区,其降水估测值还存在偏差,在今后应用中需结合地形特征加以合理利用。     

人口密度的空间连续分布模型

分析了常用的表示人口分布的方法,并指出了其不足的地方,提出了模拟人口空间分布的必要性,同时提出了模拟人口空间分布的思路。将研究区域划分为一定分辨率的格网,用核心估计方法将人口密度估计值分配到每个格网上,每个格网上的人口是均匀分布的,随着格网分辨率的提高,就可以模拟出符合人口详细分布的人口密度空间连续分布模型,并通过实验说明该方法是可行的。