[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657855-105":59,"doc-detail-657855-en":124},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":117,"head_meta":119,"extra_data":121,"updated_unix":123},105,"en","marina-benito-parejo-rescaled-range-analysis-rs-of-seismic-series","Marina Benito-Parejo - Rescaled Range Analysis (R/S) of Seismic Series","","Study focuses on complex seismic time series using Rescaled Range Analysis (R/S) to estimate the Hurst exponent H. Persistence and antipersistence are interpreted as long-term memory versus opposite future trends. A user-friendly R code is used to compute H and generate graphics for further analysis, including POX and GEOS diagrams and the evolution of H over time, together with the Gutenberg–Richter law. Application includes Melilla 2016.",{"@graph":69,"@context":116},[70,84,99],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/marina-benito-parejo-rescaled-range-analysis-rs-of-seismic-series/657855/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":93,"encodingFormat":92,"isAccessibleForFree":94,"interactionStatistic":95},"DigitalDocument",{"name":87,"@type":88},"Miles","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-10-26",true,{"@type":96,"interactionType":97,"userInteractionCount":4},"InteractionCounter",{"@type":98},"ViewAction",{"@type":100,"mainEntity":101},"FAQPage",[102,108,112],{"name":103,"@type":104,"acceptedAnswer":105},"What does the Rescaled Range Analysis (R/S) measure in this study?","Question",{"text":106,"@type":107},"It estimates the Hurst exponent H, which indicates persistence or antipersistence in the seismic time series.","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"How are persistence and antipersistence interpreted?",{"text":111,"@type":107},"Persistence means long-term memory: increases or decreases in the past are likely to continue. Antipersistence means increases are likely to be followed by decreases, and vice versa.",{"name":113,"@type":104,"acceptedAnswer":114},"What tools and diagrams are generated to analyze the seismic series?",{"text":115,"@type":107},"The study uses R/S-based R code to produce graphics such as POX and GEOS diagrams and the evolution of H over time, and it also considers the Gutenberg–Richter law.","https://schema.org",{"og:url":83,"og:type":118,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":120,"canonical":83},"index,follow",{"doc_id":122,"site_id":62},657855,1792992052,{"code":4,"msg":5,"data":125},{"doc_id":122,"user_id":126,"nickname":87,"user_avatar":127,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":133,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":134,"faqs":135,"seo_title":136,"seo_description":67,"update_tm":123,"read_time":81},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Marina Benito-Parejo  \nDirectores: Raúl Pérez López y Miguel Herráiz Sarachaga  \nDept. Física de la Tierra y Astrofísica. UCM  \n|  | | |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n| • The Rescaled Range Analysis (R/S) represents a simple and robust method for determining the |  |  |  |\n| Hurst exponent, H. Depending on H value, persistence or antipersistence can be set. [1-2] |  |  |  |\n| Persistence: long-term memory effects. If the series has increased/decreased in the past, it is very |  |  |  |\n| likely that it will continue increasing/decreasing in the future. Persistent series are the most |  |  |  |\n| common in nature |  |  |  |\n| Antipersistence: if the series is increasing, it is likely that it will decrease in the future, and vice- |  |  |  |\n| versa |  |  |  |\n| • A user friendly R-code has been created to calculate H by means of R/S analysis. It also provides |  |  |  |\n| graphics useful to expand the study of a seismic time series: |  |  |  |\n| • POX and GEOS diagrams and Evolution of H with time [2] |  |  |  |\n| • Gutenberg-Richter Law (GR) [3] |  |  |  |\n| Goal: Study of complex seismic series |  |  |  |\n|  Study of persistency of seismic series  |  |  |  |\n\n|  | | |  |  |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| |  |  | Data needed:\u003Cbr>• Date and time\u003Cbr>• Magnitude\u003Cbr>• Location (latitude/longitude) |  |\n\n| | 15 / 01 / 2016 – 15 / 04 / 2016\u003Cbr>The events occurred in the Alboran Basin, a complex zone that is being squeezed between the approaching Iberian and African Plates. [4]\u003Cbr>This convergence results in a westward shift of the Alboran block. Current tectonics is characterized by two families of conjugate tear fault systems. [5]\u003Cbr>The southern zone of the Alboran Sea has had several important episodes of seismic activity since 1990, such as in 1994 (M5.7) and in 2004 (M6.2)\u003Cbr>• 25/01/2016-Main earthquake – M6.3\u003Cbr>• Several aftershocks up to M5 . 2\u003Cbr>• 25/01/2016 – M5 . 2, M5 . 1\u003Cbr>• 22/02/2016 – M5 . 1\u003Cbr>• 11/03/2016 – M5 .0\u003Cbr>• 15/03/2016 – M5 . 2\u003Cbr>• Nº of recorded earthquakes is 2368\u003Cbr>• Data collected from IGN [6] |\n| --- | --- |\n\n| \u003Cbr>\u003Cbr>Series 4 | \u003Cbr>• Based on Omori-Utsu Law [7]\u003Cbr>• Based on output diagrams from R-code:\u003Cbr>• H variation with time\u003Cbr>• POX diagram\u003Cbr>• GEOS diagram\u003Cbr>• Based on Mogi’s classification of earthquakes distribution [8] |\n| --- | --- |\n| \u003Cbr>Values obtained with R-code:\u003Cbr>• Full Series: H = 0.58 􀃆 persistence\u003Cbr>\u003Cbr>• Once the full series has been divided, H and b are calculated again.\u003Cbr>• Differences between those values come from the characteristics of the source. [9]\u003Cbr>|  |\n\n|  |  |  |\n| --- | --- | --- |\n|  | |  |\n| • R-code diagrams give the key to identify complex seismic series.\u003Cbr>• Persistence study for Melilla seismic series 2016 carried out, obtaining H=0.58 (persistent).\u003Cbr>• Division of complex seismic series in agreement with values obtained by other institution (IGN) NEXT STEPS:\u003Cbr>• Study more seismic series depending on the source (volcanic, tectonic, triggered) .\u003Cbr>• Study seismic evolution by means of R/S analysis with a time unit of 12 hours instead of 1 day. |  |  |\n\n|  | |  |\n| --- | --- | --- |\n|  | |  |\n| [1] Hurst, H. & Phillips, P. (1957) Phys. Dept. Pap., Min. Publ. Works Egypt.\u003Cbr>[2] Mandelbrot, B. & Wallis, J. (1969) Wat. Resor. Res., 1 (5), 228-241\u003Cbr>[3] Gutenberg, B. & Richter, C. (1942) Bul. Seism. Soc. Am., 32 (3), 163-191\u003Cbr>[4] Álvarez-Gómez, J.A. et al. (2011) Marine Geology, 284, 55-73\u003Cbr>[5] IGN (2016) [Informe. www.ign.es/resources/noticias/Terremoto_Alboran.pdf](Informe. www.ign.es/resources/noticias/Terremoto_Alboran.pdf)\u003Cbr>[6] IGN (2016) Catálogo sí[smico. www.ign.es/web/ign/portal/sis-area-sismicidad](smico. www.ign.es/web/ign/portal/sis-area-sismicidad)\u003Cbr>[7] Utsu, T. (1961) Geophys. Mag., 30, 521-605\u003Cbr>[8] Udías, A. & Mezcua, J. (1997) Alianza Ed. 480pp\u003Cbr>[9] Frohlich, C. & Davis, S. (1993) J. Geophys. Res. B1(98), 631-644\u003Cbr>|  |  |\n\n[Contact author: marina.benito.parejo@ucm.es](Contact author: ","cbCaijqufuIkrW8n","https://ap.wps.com/l/cbCaijqufuIkrW8n","pdf",1768213,"English","# Goal\n## Methods and indicators\n## Study period and data\n## Series partition and modeling\n## Results and next steps","[{\"question\":\"What does the Rescaled Range Analysis (R/S) measure in this study?\",\"answer\":\"It estimates the Hurst exponent H, which indicates persistence or antipersistence in the seismic time series.\"},{\"question\":\"How are persistence and antipersistence interpreted?\",\"answer\":\"Persistence means long-term memory: increases or decreases in the past are likely to continue. Antipersistence means increases are likely to be followed by decreases, and vice versa.\"},{\"question\":\"What tools and diagrams are generated to analyze the seismic series?\",\"answer\":\"The study uses R/S-based R code to produce graphics such as POX and GEOS diagrams and the evolution of H over time, and it also considers the Gutenberg–Richter law.\"}]","Marina Benito-Parejo - Rescaled Range Analysis (R/S) of Seismic Series | PDF"]