{"id":"https://openalex.org/W2009899515","doi":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","title":"A Possible Explanation for Low Correlation Dimension Estimates for the Atmosphere","display_name":"A Possible Explanation for Low Correlation Dimension Estimates for the Atmosphere","publication_year":1993,"publication_date":"1993-02-01","ids":{"openalex":"https://openalex.org/W2009899515","doi":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","mag":"2009899515"},"language":"en","primary_location":{"id":"doi:10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","doi":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","is_oa":false,"landing_page_url":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","pdf_url":null,"source":{"id":"https://openalex.org/S4210194984","display_name":"Journal of applied meteorology","issn_l":"0021-8952","issn":["0021-8952","0894-8763","1520-0450","2163-534X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4310320260","host_organization_name":"American Meteorological Society","host_organization_lineage":["https://openalex.org/P4310320260"],"host_organization_lineage_names":["American Meteorological Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Meteorology","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110292669","display_name":"Shafiqul Islam","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shafiqul Islam","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Cincinnati, Cincinnagi, Ohio"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Cincinnati, Cincinnagi, Ohio","institution_ids":["https://openalex.org/I63135867"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004048477","display_name":"Rafael L. Bras","orcid":"https://orcid.org/0000-0003-0208-1935","observed_orcids":["https://orcid.org/0000-0003-0208-1935"]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rafael L. Bras","raw_affiliation_strings":["Ralph M. Parsons Laboratory, Massachusetts institute of Technology, Cambridge, Massachusetts"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ralph M. Parsons Laboratory, Massachusetts institute of Technology, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057006509","display_name":"Ignacio Rodriguez-Iturbe","orcid":"https://orcid.org/0000-0003-3663-9191","observed_orcids":["https://orcid.org/0000-0003-3663-9191"]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ignacio Rodriguez-Iturbe","raw_affiliation_strings":["Ralph M. Parsons Laboratory, Massachusetts institute of Technology, Cambridge, Massachusetts"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ralph M. Parsons Laboratory, Massachusetts institute of Technology, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4126,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.78346965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"2","first_page":"203","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.4643999934196472,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.4643999934196472,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.39399999380111694,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.05909999832510948,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/correlation-dimension","display_name":"correlation dimension","score":0.9990000128746033},{"id":"https://openalex.org/keywords/deterministic-chaos","display_name":"deterministic chaos","score":0.968999981880188},{"id":"https://openalex.org/keywords/atmospheric-dynamics","display_name":"atmospheric dynamics","score":0.7710000276565552},{"id":"https://openalex.org/keywords/geophysical-time-series","display_name":"geophysical time series","score":0.8330000042915344},{"id":"https://openalex.org/keywords/precipitation","display_name":"precipitation","score":0.6579999923706055},{"id":"https://openalex.org/keywords/physical-constraints","display_name":"physical constraints","score":0.5920000076293945}],"concepts":[{"id":"https://openalex.org/C110601934","wikidata":"https://www.wikidata.org/wiki/Q5172849","display_name":"Correlation dimension","level":4,"score":0.8596317768096924},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7602821588516235},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.6372402906417847},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6069908738136292},{"id":"https://openalex.org/C168702700","wikidata":"https://www.wikidata.org/wiki/Q5172855","display_name":"Correlation integral","level":3,"score":0.5500211119651794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5282511115074158},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.47070667147636414},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.4573374390602112},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4270326495170593},{"id":"https://openalex.org/C65440619","wikidata":"https://www.wikidata.org/wiki/Q177974","display_name":"Atmosphere (unit)","level":2,"score":0.41806986927986145},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.349021852016449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3000599443912506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2952801585197449},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.24026069045066833},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.22219371795654297},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1714271605014801},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12181776762008667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0869387686252594},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.06753641366958618},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","doi":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","is_oa":false,"landing_page_url":"https://doi.org/10.1175/1520-0450(1993)032<0203:apeflc>2.0.co;2","pdf_url":null,"source":{"id":"https://openalex.org/S4210194984","display_name":"Journal of applied meteorology","issn_l":"0021-8952","issn":["0021-8952","0894-8763","1520-0450","2163-534X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4310320260","host_organization_name":"American Meteorological Society","host_organization_lineage":["https://openalex.org/P4310320260"],"host_organization_lineage_names":["American Meteorological Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Meteorology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2129424864","https://openalex.org/W2152540720","https://openalex.org/W1629228274","https://openalex.org/W1984462193","https://openalex.org/W2288363297","https://openalex.org/W1491007327","https://openalex.org/W1551912132","https://openalex.org/W1511686498","https://openalex.org/W7098501119","https://openalex.org/W1880824381"],"abstract_inverted_index":{"There":[0],"have":[1],"been":[2],"numerous":[3],"attempts":[4],"to":[5,55],"detect":[6],"the":[7,14,58,62],"presence":[8],"of":[9,19,57,61],"deterministic":[10],"chaos":[11],"by":[12],"estimating":[13],"correlation":[15,21,59],"dimension.":[16],"The":[17],"values":[18],"reported":[20],"dimension":[22,60],"for":[23],"various":[24],"geophysical":[25],"time":[26],"series":[27],"vary":[28],"between":[29],"1.3":[30],"and":[31,49],"virtually":[32],"infinity":[33],"(i.e.,":[34],"no":[35],"saturation).":[36],"It":[37],"is":[38],"pointed":[39],"out":[40],"that":[41,44],"analyzing":[42],"variables":[43],"depend":[45],"on":[46],"physical":[47],"constraints":[48],"thresholds,":[50],"like":[51],"precipitation,":[52],"may":[53],"lead":[54],"underestimation":[56],"underlying":[63],"dynamical":[64],"system.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}