评Davidsen和Paczuski的“连续地震间空间发布分析”
Comment on "Analysis of the Spatial Distribution between Successive Earthquakes" by Davidsen and Paczuski
摘要：
通过分析南加州地震目录，戴维森和Paczuski [物理学评论Lett。94，048501（2005）]声称已经发现了与支持无标度统计的余震区标度理论相矛盾的证据。我们提出了四个要素，表明戴维森和帕克祖斯基的结果可能对与余震区或主震破裂长度相关的物理长度尺度的存在不敏感，因此他们的说法是未经证实的。(i)他们的指数小于1的pdf意味着他们报告的幂律统计最多是一个中间渐近;（ii）他们的幂律是不鲁棒的删除6个月的数据在兰德斯地震在17年的时间内;（iii）日本和加利福尼亚州北部的相同的分析表明没有证据的强大的幂律;（iv）一个明确服从余震区尺度的地震触发统计模型可以重现Davidsen和Paczuski观测到的直方图，表明它们的统计量可能对与地震触发相关的特征尺度的存在不敏感。
英文摘要：
By analyzing a southern California earthquake catalog, Davidsen and Paczuski [Phys. Rev. Lett. 94, 048501 (2005)] claim to have found evidence contradicting the theory of aftershock zone scaling in favor of scale-free statistics. We present four elements showing that Davidsen and Paczuski's results may be insensitive to the existence of physical length scales associated with aftershock zones or mainshock rupture lengths, so that their claim is unsubstantiated. (i) Their exponent smaller than 1 for a pdf implies that the power law statistics they report is at best an intermediate asymptotic; (ii) their power law is not robust to the removal of 6 months of data around Landers earthquake within a period of 17 years; (iii) the same analysis for Japan and northern California shows no evidence of robust power laws; (iv) a statistical model of earthquake triggering that explicitely obeys aftershock zone scaling can reproduce the observed histogram of Davidsen and Paczuski, demonstrating that their statistic may not be sensitive to the presence of characteristic scales associated with earthquake triggering.
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