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    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109963


    題名: 運用短及長週期搜尋臺灣區域二十公里深度內最強地震圓弧雙交叉;Short- and Long-Period Searches for the Strongest Double Intersections of Circular Arcs of Earthquakes in the Taiwan Region Using Events at Focal Depths of 20 km or Less
    作者: 王睿騰;WANG, RUI-TENG
    貢獻者: 土木工程學系
    關鍵詞: 最強地震圓弧雙交叉;SDICAE;強震預測;命中率;交叉型態;搜尋週期;Strongest Double Intersections of Circular Arcs of Earthquakes;SDICAE;strong-earthquake prediction;hit rate;intersection type;search period
    日期: 2026-08-25
    上傳時間: 2026-10-20 14:50:24 (UTC+8)
    出版者: 國立中央大學
    摘要: 本研究採用中央氣象署1980至2015年地震目錄,評估最強地震圓弧雙交叉(SDICAE)對臺灣短期強震之預測表現,以震源深度20公里以內之事件,分別設定短週期(dY=2)與長週期(dY=6)進行搜尋;經隔日確認取得600筆交叉,型態分類後保留413筆完全交叉,去重複後建立361筆分析母體,實測天數以代碼8888標示之23筆紀錄,依命中定義判定為未命中並納入分母。
    分析依半徑比、端弧比、主軸角、最大分岔比及兩端分岔對稱比逐級篩選,並以時空完全隨機之蒙地卡羅模擬估計背景命中率,配合單尾精確二項檢定、Clopper–Pearson信賴下限、技巧比值及多重檢定校正評估,命中定義為位於預測區內、芮氏規模5.7以上、震源深度70公里以內,且實測天數在120天以內之強震,確認形成日當日發生者亦計入命中。
    母體命中率為30.5%(110/361),單尾95%信賴下限為26.5%,相對23.28%背景值之技巧比值為1.31,單尾二項檢定p=0.0010,校正後仍顯著,五項幾何門檻逐級施加後,合計命中率降至24.0%;雙凸交叉由29.2%(42/144)提高至50.0%(5/10),技巧比值由1.25增至2.15;凹凸交叉則由31.3%(68/217)降至17.5%(7/40),技巧比值由1.35減至0.75;四組週期型態分列時,雙凸交叉於dY=2與dY=6分別由30.2%及27.1%升至37.5%及100.0%,凹凸交叉則由32.7%及28.4%降至16.0%及20.0%,兩種交叉型態對幾何篩選之反應方向相反。
    dY=2與dY=6之母體命中率分別為31.7%及27.8%(p=0.540),兩者具事件涵蓋互補性,事件命中率為28.3%(49/173),四組聯集涵蓋49起強震,所得結果仍屬回溯性證據,有待前瞻性資料驗證。;This study evaluated the performance of the Strongest Double Intersections of Circular Arcs of Earthquakes (SDICAE) for short-term forecasting of strong earthquakes in Taiwan, using the 1980–2015 earthquake catalog maintained by the Central Weather Administration. Events with focal depths of 20 km or less were examined over a short search period (dY = 2) and a long search period (dY = 6). Next-day confirmation identified 600 intersections. Following type classification, 413 complete intersections were retained, and deduplication produced a final analysis sample of 361 intersections. The observed-time field was coded as 8888 for 23 records; under the adopted hit definition, these records were classified as misses and included in the denominator.
    The intersections were progressively screened using five geometric criteria: radius ratio, end-arc ratio, major-axis angle, maximum branching ratio, and branching symmetry ratio. The background hit rate was estimated using a fully randomized spatiotemporal Monte Carlo simulation. Performance was evaluated using one-sided exact binomial tests, Clopper–Pearson one-sided confidence lower bounds, skill ratios, and correction for multiple testing. A hit was defined as an earthquake of magnitude 5.7 or greater and focal depth of 70 km or less that occurred within the prediction zone at 0 ≤ dt ≤ 120 days. Events occurring on the confirmation date were also counted as hits.
    The overall hit rate was 30.5% (110/361), with a one-sided 95% confidence lower bound of 26.5%. Relative to the background hit rate of 23.28%, the skill ratio was 1.31, and the one-sided binomial test yielded p = 0.0010; the result remained significant after multiple-testing correction. Progressive application of the five geometric criteria reduced the overall hit rate to 24.0%. For double-convex intersections, the hit rate increased from 29.2% (42/144) to 50.0% (5/10), with the skill ratio rising from 1.25 to 2.15. In contrast, the hit rate for concave-convex intersections decreased from 31.3% (68/217) to 17.5% (7/40), with the skill ratio declining from 1.35 to 0.75. When the four search-period–type groups were considered separately, the hit rates for dY = 2 and dY = 6 double-convex intersections increased from 30.2% and 27.1% to 37.5% and 100.0%, respectively, whereas those for concave-convex intersections decreased from 32.7% and 28.4% to 16.0% and 20.0%. The two intersection types therefore showed opposite responses to geometric screening.
    At the population level, the hit rates for dY = 2 and dY = 6 were 31.7% and 27.8%, respectively, with no statistically significant difference between them (p = 0.540). Nevertheless, the two search periods were complementary in terms of event coverage. The event-level hit rate was 28.3% (49/173), and the union of the four groups covered 49 distinct strong earthquakes. These findings are based on retrospective evidence and require validation using prospective data.
    顯示於類別:[土木工程研究所] 博碩士論文

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