The Eurasian seismic belt is the second largest seismic zone in the world. It has numerous seismic activities which have enormous impact on human’s life. It is of importance to study the spatio–temporal characteristics of the Eurasian seismic belt. As we can learn from previous studies, fractal and fractal dimension theories can be used to study seismic activities. In general, the temporal sequence and the spatio sequence of earthquakes both exhibit the fractal structures. When huge earthquakes occur, the fractal dimension of the temporal sequence is very low. As the days went by, the value of fractal dimension fluctuates. The seismic data from 1973 to 2014 in The Eurasian seismic belt are selected as the object of this study. Based on the single fractal model, the complex structure of the seismic spatio and temporal distribution in the seismic belt is quantitatively evaluated. Results show that over time the time interval of the seismic activity shortened, and the seismic activity on the Eurasian seismic belt has a nonlinear structure and self-similar characteristics. From the perspective of space, the fractal dimension of the Eurasian seismic belt tends to grow with time, and it also has a nonlinear structure and self-similar characteristics. When the temporal unit is set as 1 year, the accumulation and release of energy are probably periodic: the minor period might be about 8.5 years, and the major period might be about 13 years.

中文翻译：

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欧亚地震带的地震时空分布和分形分析

欧亚地震带是世界第二大地震带。它具有众多的地震活动，对人类的生活产生巨大影响。研究欧亚地震带的时空特征非常重要。正如我们可以从以前的研究中学到的那样，分形和分形维数理论可以用来研究地震活动。通常，地震的时间序列和时空序列都表现出分形结构。当发生大地震时，时间序列的分形维数很低。随着时间的流逝，分形维数的值波动。本文以欧亚地震带1973〜2014年的地震资料为研究对象。根据单一分形模型，定量评价了地震带的复杂结构和时空分布。结果表明，随着时间的推移，地震活动的时间间隔缩短，欧亚地震​​带上的地震活动具有非线性结构和自相似特征。从空间的角度看，欧亚地震​​带的分形维数随时间增长，具有非线性结构和自相似特征。当时间单位设置为1年时，能量的积累和释放可能是周期性的：较小的时期可能约为8.5年，而主要的时期可能约为13年。欧亚地震带上的地震活动具有非线性结构和自相似特征。从空间的角度看，欧亚地震​​带的分形维数随时间增长，具有非线性结构和自相似特征。当时间单位设置为1年时，能量的积累和释放可能是周期性的：较小的时期可能约为8.5年，而主要的时期可能约为13年。欧亚地震带上的地震活动具有非线性结构和自相似特征。从空间的角度看，欧亚地震​​带的分形维数随时间增长，具有非线性结构和自相似特征。当时间单位设置为1年时，能量的积累和释放可能是周期性的：较小的时期可能约为8.5年，而主要的时期可能约为13年。