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20 pages, 21792 KiB  
Article
Spatial Heterogeneity of b Values in Northeastern Tibetan Plateau and Its Interpretation
by Nan Hu, Peng Han, Rui Wang, Fuqiang Shi, Lichun Chen and Hongyi Li
Entropy 2024, 26(3), 182; https://doi.org/10.3390/e26030182 - 21 Feb 2024
Cited by 1 | Viewed by 1377
Abstract
The northeastern margin of the Tibetan Plateau (NE Tibetan Plateau) exhibits active geological structures and has experienced multiple strong earthquakes, with M ≥ 7, throughout history. Particularly noteworthy is the 1920 M81/2 earthquake in the Haiyuan region that occurred [...] Read more.
The northeastern margin of the Tibetan Plateau (NE Tibetan Plateau) exhibits active geological structures and has experienced multiple strong earthquakes, with M ≥ 7, throughout history. Particularly noteworthy is the 1920 M81/2 earthquake in the Haiyuan region that occurred a century ago and is documented as one of the deadliest earthquakes. Consequently, analyzing seismic risks in the northeastern margin of the Tibetan Plateau holds significant importance. The b value, a crucial parameter for seismic activity, plays a pivotal role in seismic hazard analyses. This study calculates the spatial b values in this region based on earthquake catalogs since 1970. The study area encompasses several major active faults, and due to variations in b values across different fault types, traditional grid-search methods may introduce significant errors in calculating the spatial b value within complex fault systems. To address this, we employed the hierarchical space–time point–process (HIST-PPM) method proposed by Ogata. This method avoids partitioning earthquake samples, optimizes parameters using Akaike’s Bayesian Information Criterion (ABIC) with entropy maximization, and theoretically allows for a higher spatial resolution and more accurate b value calculations. The results indicate a high spatial heterogeneity in b values within the study area. The northwestern and southeastern regions exhibit higher b values. Along the Haiyuan fault zone, the central rupture zone of the Haiyuan earthquake has relatively higher b values than other regions of this fault zone, which is possibly related to the sufficient release of stress during the main rupture of the Haiyuan earthquake. The b values vary from high in the west to low in the east along the Zhongwei fault. On the West Qinling fault zone, the epicenter of the recent Minxian–Zhangxian earthquake is associated with a low b value. In general, regions with low b values correspond well to areas with moderate–strong seismic events in the past 50 years. The spatial differences in b values may reflect variances in seismic hazards among fault zones and regions within the same fault zone. Full article
(This article belongs to the Section Multidisciplinary Applications)
Show Figures

Figure 1

Figure 1
<p>The spatial and temporal distribution of earthquakes in the NE Tibetan Plateau from January 1970 to June 2023 with main faults and focal mechanisms of large historical earthquakes. In the upper map (<b>a</b>), fault belts discussed in this paper are drawn in dark gray traces with abbreviated names, modified from Deng [<a href="#B51-entropy-26-00182" class="html-bibr">51</a>]; small hollow circles denote earthquakes with a magnitude of less than 5.0; red solid circles denote earthquakes with a magnitude equal to or larger than 5.0 from January 1970 to June 2023; the green solid star indicates the 18 December 2023 <span class="html-italic">M</span>6.3 earthquake that happened in the Linxia Hui autonomous region in Gansu, which was not included for <span class="html-italic">b</span> value estimation, and the size of the circle was scaled to the magnitude; yellow stars represent historic large earthquakes based on the Catalogue of Chinese Historical Strong Earthquakes from the 23<sup>RD</sup> century BC to 1911 and the Catalogue of Chinese Present Strong Earthquakes from 1912 to 1990 [<a href="#B52-entropy-26-00182" class="html-bibr">52</a>,<a href="#B53-entropy-26-00182" class="html-bibr">53</a>]; focal-mechanism solutions of large earthquakes are shown as beach balls, estimated by empirical formulae using geometric information of seismic faults, tectonic stress, and rupture scales, referenced from previous studies, which are listed in <a href="#entropy-26-00182-t001" class="html-table">Table 1</a>; bold red lines denote the 230 km rupture zone of the 1920 <span class="html-italic">M</span>8<sup>1</sup>/<sub>2</sub> Haiyuan earthquake [<a href="#B54-entropy-26-00182" class="html-bibr">54</a>,<a href="#B55-entropy-26-00182" class="html-bibr">55</a>,<a href="#B56-entropy-26-00182" class="html-bibr">56</a>]; and provincial borders are shown by orange lines with names in the center of each province. The inset figure shows active blocks in the NE Tibetan Plateau and the blue frame circles the extent of the study area. The lower map (<b>b</b>) is the temporal–magnitude distribution of seismic events. Abbreviated names of faults are labeled as follows: ZWF = Zhongwei fault; HYF = Haiyuan fault; LSF = Luoshan fault; LPSF = Liupanshan fault; ZLHF = Zhuanglanghe fault; MXSF = Maxianshan fault; WQLF = Western Qinling fault.</p>
Full article ">Figure 2
<p>(<b>a</b>) The upper map shows the spatial distribution of <span class="html-italic">M</span><sub>C</sub> of the NE Tibetan Plateau based on the catalog from 1970 to June 2023, and the lower map shows the standard deviation of <span class="html-italic">M</span>c. The gray boxes denote the grids with null results; the black dots represent the events shown in <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>. The purple and black solid lines are provincial borders and active faults [<a href="#B51-entropy-26-00182" class="html-bibr">51</a>]. (<b>b</b>) The number of events above magnitude 2.9 for <span class="html-italic">b</span> value estimation; purple lines encircle the region with a low number of events. (<b>c</b>) The frequency and magnitude distribution of the catalog; the squares represent the accumulated number of events above a certain magnitude, and the triangles represent the non-accumulated number of events. The red line represents the best fitted relationship of log<span class="html-italic">N</span> = a − <span class="html-italic">bM</span> calculated by Zmap. (<b>d</b>) The time variations of <span class="html-italic">M</span>c; the solid black line represents <span class="html-italic">M</span>c, and the dashed line represents <span class="html-italic">M</span>c’s standard deviation.</p>
Full article ">Figure 3
<p>The spatial <span class="html-italic">b</span> value distribution is based on different <span class="html-italic">M</span>cs by HIST-PPM. The red solid circle denotes earthquakes above and equal to a magnitude of 5.0 since 1970 in the NE Tibetan Plateau. The white hollow circle is the event above the <span class="html-italic">M</span>c. Dark gray solid lines are the main fault trace in the NE Tibetan Plateau, modified from Deng [<a href="#B51-entropy-26-00182" class="html-bibr">51</a>]; the abbreviated name for each fault trace is the same as <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>. Bold red lines denote the 230 km rupture zone of the 1920 <span class="html-italic">M</span>8<sup>1</sup>/<sub>2</sub> Haiyuan earthquake [<a href="#B55-entropy-26-00182" class="html-bibr">55</a>,<a href="#B56-entropy-26-00182" class="html-bibr">56</a>]. Main cities and counties are also shown. Solid purple lines encircle the events with high <span class="html-italic">b</span> values. The green solid star indicates the 18 December 2023 <span class="html-italic">M</span>6.3 earthquake in the Linxia Hui autonomous region in Gansu, which was not included in the <span class="html-italic">b</span> value estimation.</p>
Full article ">Figure 4
<p>Spatial distribution of <span class="html-italic">b</span> value based on events with <span class="html-italic">M</span>c ≤ <span class="html-italic">M</span> ≤ 5.0 (<b>left</b>) and events with <span class="html-italic">M</span>c ≤ <span class="html-italic">M</span> ≤ 5.5 (<b>right</b>).</p>
Full article ">Figure 5
<p>The spatial <span class="html-italic">b</span> value distribution is based on different <span class="html-italic">M</span>cs by Zmap. Other factors are the same as in <a href="#entropy-26-00182-f003" class="html-fig">Figure 3</a>.</p>
Full article ">Figure 6
<p>Histograms of the hourly events in the cities of Huating and Tianzhu. These two regions are encircled with purple lines in <a href="#entropy-26-00182-f007" class="html-fig">Figure 7</a>. The value of D/N is shown in the upper right corner for each.</p>
Full article ">Figure 7
<p>The spatial distribution of the <span class="html-italic">b</span> value estimated by all the events (<b>left</b>) and by excluding events with depths less than and equal to 3 km in the Huating and Tianzhu regions (<b>right</b>). These two regions are encircled with purple lines.</p>
Full article ">Figure 8
<p>The spatial distribution of HIST-PPM <span class="html-italic">b</span> values concentrated around ZWF and LSF. The color bar for the <span class="html-italic">b</span> value and other elements is illustrated in <a href="#entropy-26-00182-f003" class="html-fig">Figure 3</a> and is not repeated here. The red frame in the upper map encricle the ZWFR in large scale. The yellow star represents the historic earthquake, which is also shown in <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>.</p>
Full article ">Figure 9
<p>The spatial distribution of HIST-PPM <span class="html-italic">b</span> values concentrated around HYF. Bold black lines denote the segmentation of HYF [<a href="#B110-entropy-26-00182" class="html-bibr">110</a>]. The yellow stars denote the 1920 <span class="html-italic">M</span>8<sup>1</sup>/<sub>2</sub> Haiyuan earthquake and the 1920 <span class="html-italic">M</span>7 Haiyuan earthquake. The color bar for the <span class="html-italic">b</span> value and other elements is illustrated in <a href="#entropy-26-00182-f003" class="html-fig">Figure 3</a> and is not repeated here. The red frame in the upper map encricle the HYFR in large scale. The yellow stars represents the historic earthquakes, which are also shown in <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>.</p>
Full article ">Figure 10
<p>The spatial distribution of HIST-PPM <span class="html-italic">b</span> values concentrated around LXFR. The color bar for the <span class="html-italic">b</span> value and other elements is illustrated in <a href="#entropy-26-00182-f003" class="html-fig">Figure 3</a> and is not repeated here. The red frame in the upper map encricle the LXFR in large scale. The yellow stars represents the historic earthquakes, which are also shown in <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>.</p>
Full article ">Figure 11
<p>The spatial distribution of HIST-PPM <span class="html-italic">b</span> values concentrated around WQLFR. The yellow star represents the 2013 <span class="html-italic">M</span>6.6 Minxian–Zhangxian earthquake. The color bar for the <span class="html-italic">b</span> value and other elements is illustrated in <a href="#entropy-26-00182-f003" class="html-fig">Figure 3</a> and is not repeated here. The red frame in the upper map encricle the WQLFR in large scale. The yellow stars represents the historic earthquakes, which are also shown in <a href="#entropy-26-00182-f001" class="html-fig">Figure 1</a>.The high degree of spatial heterogeneity in <span class="html-italic">b</span> values can provide clues for observing the segmented features of fault zones, which are usually proved by geological methods. Earthquakes usually cluster along the fault belts, providing sufficient samples for the <span class="html-italic">b</span> value and making the <span class="html-italic">b</span> value more accurate here. Therefore, it is suggested that regions far away from faults may not acquire reliable information on <span class="html-italic">b</span> values for regions including complex fault systems.</p>
Full article ">
18 pages, 11006 KiB  
Article
Assessing Earthquake Forecast Performance Based on b Value in Yunnan Province, China
by Rui Wang, Ying Chang, Miao Miao, Zhiyi Zeng, Hongyan Chen, Haixia Shi, Danning Li, Lifang Liu, Youjin Su and Peng Han
Entropy 2021, 23(6), 730; https://doi.org/10.3390/e23060730 - 8 Jun 2021
Cited by 21 | Viewed by 3681
Abstract
Many studies have shown that b values tend to decrease prior to large earthquakes. To evaluate the forecast information in b value variations, we conduct a systematic assessment in Yunnan Province, China, where the seismicity is intense and moderate–large earthquakes occur frequently. The [...] Read more.
Many studies have shown that b values tend to decrease prior to large earthquakes. To evaluate the forecast information in b value variations, we conduct a systematic assessment in Yunnan Province, China, where the seismicity is intense and moderate–large earthquakes occur frequently. The catalog in the past two decades is divided into four time periods (January 2000–December 2004, January 2005–December 2009, January 2010–December 2014, and January 2015–December 2019). The spatial b values are calculated for each 5-year span and then are used to forecast moderate-large earthquakes (M ≥ 5.0) in the subsequent period. As the fault systems in Yunnan Province are complex, to avoid possible biases in b value computation caused by different faulting regimes when using the grid search, the hierarchical space–time point-process models (HIST-PPM) proposed by Ogata are utilized to estimate spatial b values in this study. The forecast performance is tested by Molchan error diagram (MED) and the efficiency is quantified by probability gain (PG) and probability difference (PD). It is found that moderate–large earthquakes are more likely to occur in low b regions. The MED analysis shows that there is considerable precursory information in spatial b values and the forecast efficiency increases with magnitude in the Yunnan Province. These results suggest that the b value might be useful in middle- and long-term earthquake forecasts in the study area. Full article
(This article belongs to the Special Issue Complex Systems Time Series Analysis and Modeling for Geoscience)
Show Figures

Figure 1

Figure 1
<p>The spatial and temporal distribution of earthquakes in Yunnan from 2000 to 2019. (<b>a</b>) Map of Yunnan and earthquake distributions. The light blue line is the provincial boundary, and the dark blue circles are earthquakes. The red dots present the events in Yunnan province with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and the red stars show <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> events. The size of the symbol is scaled to magnitude. The black lines indicate main faults [<a href="#B57-entropy-23-00730" class="html-bibr">57</a>]. (<b>b</b>) Temporal distribution of the earthquakes shown in <a href="#entropy-23-00730-f001" class="html-fig">Figure 1</a>a.</p>
Full article ">Figure 2
<p>(<b>a</b>) Earthquake distribution during January 2000–December 2004. The size of the circle is scaled to the magnitude; (<b>b</b>) spatial distribution of Mc during January 2000–December 2004; (<b>c</b>) spatial distribution of standard deviation of <span class="html-italic">Mc</span> during January 2000–December 2004; (<b>d</b>) Delaunay triangle tessellation connecting the epicenters of <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>3.0</mn> </mrow> </semantics></math> events during January 2000–December 2004.</p>
Full article ">Figure 2 Cont.
<p>(<b>a</b>) Earthquake distribution during January 2000–December 2004. The size of the circle is scaled to the magnitude; (<b>b</b>) spatial distribution of Mc during January 2000–December 2004; (<b>c</b>) spatial distribution of standard deviation of <span class="html-italic">Mc</span> during January 2000–December 2004; (<b>d</b>) Delaunay triangle tessellation connecting the epicenters of <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>3.0</mn> </mrow> </semantics></math> events during January 2000–December 2004.</p>
Full article ">Figure 3
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2000–December 2004. Black circles present the earthquake events with M ≥ Mc during January 2000–December 2004. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2005–December 2009. The size of symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>18</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 3 Cont.
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2000–December 2004. Black circles present the earthquake events with M ≥ Mc during January 2000–December 2004. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2005–December 2009. The size of symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>18</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 4
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2005–December 2009. Black circles present the earthquake events with M ≥ Mc during January 2005–December 2009. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2010–December 2014. The size of the symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>40</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>19</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 4 Cont.
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2005–December 2009. Black circles present the earthquake events with M ≥ Mc during January 2005–December 2009. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2010–December 2014. The size of the symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>40</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>19</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 5
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2010–December 2014. Black circles present the earthquake events with M ≥ Mc during January 2010–December 2014. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2015–December 2019. The size of the symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>18</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 5 Cont.
<p>(<b>a</b>) Spatial distribution of <span class="html-italic">b</span> values in January 2010–December 2014. Black circles present the earthquake events with M ≥ Mc during January 2010–December 2014. Red dots show locations of events with <math display="inline"><semantics> <mrow> <mn>5.0</mn> <mo>≤</mo> <mi>M</mi> <mo>&lt;</mo> <mn>5.5</mn> </mrow> </semantics></math> and red stars show locations of events with <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math> in Yunnan province during January 2015–December 2019. The size of the symbol is scaled to the magnitude. (<b>b</b>) MED of forecast performance using the <span class="html-italic">b</span> values in (<b>a</b>). The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>18</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>c</b>) The PG variations of the predictions in (<b>b</b>).</p>
Full article ">Figure 6
<p>(<b>a</b>) MED of comprehensive forecast performance during January 2005–December 2019. The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>76</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>26</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>b</b>) The <span class="html-italic">PG</span> variations of the predictions in (<b>a</b>). (<b>c</b>) The <span class="html-italic">PD</span> variations of the predictions in (<b>a</b>).</p>
Full article ">Figure 6 Cont.
<p>(<b>a</b>) MED of comprehensive forecast performance during January 2005–December 2019. The earthquake number <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </msub> <mo>=</mo> <mn>76</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </msub> <mo>=</mo> <mn>26</mn> </mrow> </semantics></math>. The blue line gives the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.0</mn> </mrow> </semantics></math> events and the red line shows the result for <math display="inline"><semantics> <mrow> <mi>M</mi> <mo>≥</mo> <mn>5.5</mn> </mrow> </semantics></math>. (<b>b</b>) The <span class="html-italic">PG</span> variations of the predictions in (<b>a</b>). (<b>c</b>) The <span class="html-italic">PD</span> variations of the predictions in (<b>a</b>).</p>
Full article ">Figure 7
<p>Spatial distribution of b values in January 2015–December 2019 with different <span class="html-italic">Mc</span>. (<b>a</b>) <span class="html-italic">Mc</span> = 2.8; (<b>b</b>) <span class="html-italic">Mc</span> = 3.0; (<b>c</b>) <span class="html-italic">Mc</span> = 3.2.</p>
Full article ">Figure 7 Cont.
<p>Spatial distribution of b values in January 2015–December 2019 with different <span class="html-italic">Mc</span>. (<b>a</b>) <span class="html-italic">Mc</span> = 2.8; (<b>b</b>) <span class="html-italic">Mc</span> = 3.0; (<b>c</b>) <span class="html-italic">Mc</span> = 3.2.</p>
Full article ">Figure 8
<p>Forecast results based on the <span class="html-italic">b</span> values in <a href="#entropy-23-00730-f007" class="html-fig">Figure 7</a>b with <span class="html-italic">bthr</span> = 0.91. The red squares indicate the alarmed areas for the period January 2020–December 2024.</p>
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