我国西南地区现代构造应力场与现代构造活动特征的探讨

本文通过对我国西南地区以及相邻的越南、缅甸北部地区的51个地震的震源机制结果和10个地震破裂带资料的力学分析,讨论了我国西南地区现代构造应力场分区及现代构造活动特征。并得出由鲜水河断裂带、安宁河断裂带、小江断裂带、通海曲江断裂带和红河断裂带所围成的一个不封闭菱形地块相对外围区域有向南南东移动的趋势。此菱形地块控制着我国西南地区的主要地震活动。     

Comparison of structural and least-squares lines for estimating geologic relations

Two different goals in fitting straight lines to data are to estimate a true linear relation (physical law) and to predict values of the dependent variable with the smallest possible error. Regarding the first goal, a Monte Carlo study indicated that the structural-analysis (SA) method of fitting straight lines to data is superior to the ordinary least-squares (OLS) method for estimating true straight-line relations. Number of data points, slope and intercept of the true relation, and variances of the errors associated with the independent (X) and dependent (Y) variables influence the degree of agreement. For example, differences between the two line-fitting methods decrease as error in X becomes small relative to error in Y. Regarding the second goal—predicting the dependent variable—OLS is better than SA. Again, the difference diminishes as X takes on less error relative to Y. With respect to estimation of slope and intercept and prediction of Y, agreement between Monte Carlo results and large-sample theory was very good for sample sizes of 100, and fair to good for sample sizes of 20. The procedures and error measures are illustrated with two geologic examples.