{"id":"https://openalex.org/W2083373474","doi":"https://doi.org/10.3390/e14050945","title":"Applying Multiscale Entropy to the Complexity Analysis of Rainfall-Runoff Relationships","display_name":"Applying Multiscale Entropy to the Complexity Analysis of Rainfall-Runoff Relationships","publication_year":2012,"publication_date":"2012-05-16","ids":{"openalex":"https://openalex.org/W2083373474","doi":"https://doi.org/10.3390/e14050945","mag":"2083373474"},"language":"en","primary_location":{"id":"doi:10.3390/e14050945","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050945","pdf_url":"https://www.mdpi.com/1099-4300/14/5/945/pdf?version=1424784849","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/5/945/pdf?version=1424784849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029948597","display_name":"Chien\u2010Ming Chou","orcid":"https://orcid.org/0000-0002-8240-1566"},"institutions":[{"id":"https://openalex.org/I14780663","display_name":"MingDao University","ror":"https://ror.org/01nrk6j30","country_code":"TW","type":"education","lineage":["https://openalex.org/I14780663"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chien-Ming Chou","raw_affiliation_strings":["Department of Design for Sustainable Environment, MingDao University, 369 Wen-Hua Road, Peetow, Changhua 52345, Taiwan","Mingdao Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Design for Sustainable Environment, MingDao University, 369 Wen-Hua Road, Peetow, Changhua 52345, Taiwan","institution_ids":["https://openalex.org/I14780663"]},{"raw_affiliation_string":"Mingdao Univ","institution_ids":["https://openalex.org/I14780663"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029948597"],"corresponding_institution_ids":["https://openalex.org/I14780663"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.2347,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.94815498,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"5","first_page":"945","last_page":"957"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11490","display_name":"Hydrological Forecasting Using AI","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10029","display_name":"Climate variability and models","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/surface-runoff","display_name":"Surface runoff","score":0.8367182016372681},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5174894332885742},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.4824693500995636},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4429951012134552},{"id":"https://openalex.org/keywords/sample-entropy","display_name":"Sample entropy","score":0.44112488627433777},{"id":"https://openalex.org/keywords/hydrology","display_name":"Hydrology (agriculture)","score":0.4254376292228699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37783074378967285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3259757161140442},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29062801599502563},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.13884815573692322},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.08469438552856445},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.07699453830718994}],"concepts":[{"id":"https://openalex.org/C50477045","wikidata":"https://www.wikidata.org/wiki/Q1444790","display_name":"Surface runoff","level":2,"score":0.8367182016372681},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5174894332885742},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.4824693500995636},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4429951012134552},{"id":"https://openalex.org/C66696666","wikidata":"https://www.wikidata.org/wiki/Q17105612","display_name":"Sample entropy","level":3,"score":0.44112488627433777},{"id":"https://openalex.org/C76886044","wikidata":"https://www.wikidata.org/wiki/Q2883300","display_name":"Hydrology (agriculture)","level":2,"score":0.4254376292228699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37783074378967285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3259757161140442},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29062801599502563},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.13884815573692322},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.08469438552856445},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07699453830718994},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e14050945","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050945","pdf_url":"https://www.mdpi.com/1099-4300/14/5/945/pdf?version=1424784849","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ff88be5a542a4ba3806f247180b5abe8","is_oa":true,"landing_page_url":"https://doaj.org/article/ff88be5a542a4ba3806f247180b5abe8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 14, Iss 5, Pp 945-957 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/5/945/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14050945","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 14; Issue 5; Pages: 945-957","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14050945","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050945","pdf_url":"https://www.mdpi.com/1099-4300/14/5/945/pdf?version=1424784849","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2083373474.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1757551578","https://openalex.org/W1862394037","https://openalex.org/W2012132690","https://openalex.org/W2031377725","https://openalex.org/W2059851411","https://openalex.org/W2059995503","https://openalex.org/W2081517284","https://openalex.org/W2093266575","https://openalex.org/W2108350279","https://openalex.org/W2112830249"],"related_works":["https://openalex.org/W2165375209","https://openalex.org/W2054461511","https://openalex.org/W3110408977","https://openalex.org/W2371790036","https://openalex.org/W3150758196","https://openalex.org/W2377305886","https://openalex.org/W1600449631","https://openalex.org/W2392839383","https://openalex.org/W2521758442","https://openalex.org/W2022287597"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,46,53,70,82,182],"novel":[4],"framework":[5],"for":[6,62,91,184,242],"the":[7,36,73,92,99,122,128,132,146,164,171,185,209,215,218,231,243],"complexity":[8,37,165,197,244],"analysis":[9,25,227,245],"of":[10,26,38,72,85,102,110,121,131,149,166,173,187,193,202,211,217,246],"rainfall,":[11,150,247],"runoff,":[12,151,248],"and":[13,67,88,134,152,180,198,230,249],"runoff":[14,89,111,135],"coefficient":[15],"(RC)":[16],"time":[17,28,54,65,104,112,124,136,154,168,251],"series":[18,29,105,113,125,137,155,169],"using":[19],"multiscale":[20],"entropy":[21,58,100,119,129,147],"(MSE).":[22],"The":[23,56,76,118,161],"MSE":[24,219,226],"RC":[27,123,153,167,250],"was":[30,50,59,79],"used":[31],"to":[32,42,52,177,208,223],"investigate":[33],"changes":[34,162,172],"in":[35,81,163],"rainfall-runoff":[39,174,188,212],"processes":[40],"due":[41,176],"human":[43,178],"activities.":[44],"Firstly,":[45],"coarse":[47],"graining":[48],"process":[49],"applied":[51],"series.":[55,252],"sample":[57],"then":[60],"computed":[61],"each":[63],"coarse-grained":[64],"series,":[66],"plotted":[68],"as":[69,157],"function":[71],"scale":[74,116,140,158],"factor.":[75],"proposed":[77],"method":[78],"tested":[80,222],"case":[83],"study":[84],"daily":[86],"rainfall":[87,103,133],"data":[90],"upstream":[93],"Wu\u2013Tu":[94],"watershed.":[95],"Results":[96,142],"show":[97,144],"that":[98,145,190,225],"measures":[101,120,130],"are":[106,126,191],"higher":[107],"than":[108],"those":[109],"at":[114,138],"all":[115],"factors.":[117,141],"between":[127],"various":[139],"also":[143],"values":[148],"increase":[156],"factors":[159],"increase.":[160],"indicate":[170],"relations":[175],"activities":[179],"provide":[181],"reference":[183],"selection":[186],"models":[189],"capable":[192],"dealing":[194],"with":[195],"great":[196],"take":[199],"into":[200],"account":[201],"obvious":[203],"self-similarity":[204],"can":[205],"be":[206],"suggested":[207],"modeling":[210],"processes.":[213],"Moreover,":[214],"robustness":[216],"results":[220,233],"were":[221],"confirm":[224],"is":[228],"consistent":[229],"same":[232],"when":[234],"removing":[235],"25%":[236],"data,":[237],"making":[238],"this":[239],"approach":[240],"suitable":[241]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}
