{"id":"https://openalex.org/W4399576233","doi":"https://doi.org/10.3390/e26060508","title":"Characterizing Complex Spatiotemporal Patterns from Entropy Measures","display_name":"Characterizing Complex Spatiotemporal Patterns from Entropy Measures","publication_year":2024,"publication_date":"2024-06-12","ids":{"openalex":"https://openalex.org/W4399576233","doi":"https://doi.org/10.3390/e26060508","pmid":"https://pubmed.ncbi.nlm.nih.gov/38920517"},"language":"en","primary_location":{"id":"doi:10.3390/e26060508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26060508","pdf_url":"https://www.mdpi.com/1099-4300/26/6/508/pdf?version=1718184280","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/6/508/pdf?version=1718184280","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026311938","display_name":"Luan Orion de Oliveira Bara\u00fana Ferreira","orcid":"https://orcid.org/0000-0002-5214-2399"},"institutions":[{"id":"https://openalex.org/I80849659","display_name":"Instituto Nacional de Pesquisas Espaciais","ror":"https://ror.org/04xbn6x09","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210151455","https://openalex.org/I80849659"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Luan Orion Barauna","raw_affiliation_strings":["Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil","institution_ids":["https://openalex.org/I80849659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000643939","display_name":"R Sautter","orcid":"https://orcid.org/0000-0001-8318-4068"},"institutions":[{"id":"https://openalex.org/I80849659","display_name":"Instituto Nacional de Pesquisas Espaciais","ror":"https://ror.org/04xbn6x09","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210151455","https://openalex.org/I80849659"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rubens Andreas Sautter","raw_affiliation_strings":["Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil","institution_ids":["https://openalex.org/I80849659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036698110","display_name":"Reinaldo R. Rosa","orcid":"https://orcid.org/0000-0002-2962-4322"},"institutions":[{"id":"https://openalex.org/I80849659","display_name":"Instituto Nacional de Pesquisas Espaciais","ror":"https://ror.org/04xbn6x09","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210151455","https://openalex.org/I80849659"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Reinaldo Roberto Rosa","raw_affiliation_strings":["Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil","Laboratory for Computing and Applied Math, National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Applied Computing Graduate Program (CAP), National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil","institution_ids":["https://openalex.org/I80849659"]},{"raw_affiliation_string":"Laboratory for Computing and Applied Math, National Institute for Space Research, Av. dos Astronautas, 1.758, Jardim da Granja, S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil","institution_ids":["https://openalex.org/I80849659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050358054","display_name":"Erico L. Rempel","orcid":"https://orcid.org/0000-0002-4971-5854"},"institutions":[{"id":"https://openalex.org/I107428990","display_name":"Instituto Tecnol\u00f3gico de Aeron\u00e1utica","ror":"https://ror.org/05vh67662","country_code":"BR","type":"education","lineage":["https://openalex.org/I107428990"]},{"id":"https://openalex.org/I4210123805","display_name":"Instituto de Aeron\u00e1utica e Espa\u00e7o","ror":"https://ror.org/025n1fp68","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210123805"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Erico Luiz Rempel","raw_affiliation_strings":["Mathematics Department, Aeronautics Institute of Technology, Pra\u00e7a Marechal Eduardo Gomes, 50, Vila das Ac\u00e1cias, S\u00e3o Jos\u00e9 dos Campos 12228-900, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Aeronautics Institute of Technology, Pra\u00e7a Marechal Eduardo Gomes, 50, Vila das Ac\u00e1cias, S\u00e3o Jos\u00e9 dos Campos 12228-900, SP, Brazil","institution_ids":["https://openalex.org/I4210123805","https://openalex.org/I107428990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055912992","display_name":"Alejandro C. Frery","orcid":"https://orcid.org/0000-0002-8002-5341"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Alejandro C. Frery","raw_affiliation_strings":["School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026311938"],"corresponding_institution_ids":["https://openalex.org/I80849659"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10960062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"6","first_page":"508","last_page":"508"},"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":0.9966999888420105,"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":0.9966999888420105,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9954000115394592,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9660999774932861,"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/statistical-physics","display_name":"Statistical physics","score":0.6297881603240967},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5755835771560669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5307574272155762},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.49214380979537964},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.4842814803123474},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.43900009989738464},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.43679821491241455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41871270537376404},{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.4111334979534149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4097680449485779},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3908720016479492},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.31906649470329285},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.31215497851371765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19212022423744202},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17588463425636292}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6297881603240967},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5755835771560669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5307574272155762},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.49214380979537964},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.4842814803123474},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.43900009989738464},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.43679821491241455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41871270537376404},{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.4111334979534149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4097680449485779},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3908720016479492},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.31906649470329285},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.31215497851371765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19212022423744202},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17588463425636292},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26060508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26060508","pdf_url":"https://www.mdpi.com/1099-4300/26/6/508/pdf?version=1718184280","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":"pmid:38920517","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38920517","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11202814","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11202814","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11202814/pdf/entropy-26-00508.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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 (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:6dde0004a1914df1b7e426b3b4d40488","is_oa":true,"landing_page_url":"https://doaj.org/article/6dde0004a1914df1b7e426b3b4d40488","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 6, p 508 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26060508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26060508","pdf_url":"https://www.mdpi.com/1099-4300/26/6/508/pdf?version=1718184280","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":[{"id":"https://openalex.org/G2869745425","display_name":null,"funder_award_id":"2021/15114-8","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320324906","display_name":"Ag\u00eancia Espacial Brasileira","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399576233.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1727219132","https://openalex.org/W1974991834","https://openalex.org/W1983874169","https://openalex.org/W1986749195","https://openalex.org/W2006451464","https://openalex.org/W2014683958","https://openalex.org/W2036357404","https://openalex.org/W2044513362","https://openalex.org/W2057487468","https://openalex.org/W2063451176","https://openalex.org/W2068389942","https://openalex.org/W2076694714","https://openalex.org/W2119622871","https://openalex.org/W2134287462","https://openalex.org/W2571248214","https://openalex.org/W2590308811","https://openalex.org/W2761948039","https://openalex.org/W2774322928","https://openalex.org/W2789817813","https://openalex.org/W2795285908","https://openalex.org/W2811094165","https://openalex.org/W2910386429","https://openalex.org/W2978755170","https://openalex.org/W3086618852","https://openalex.org/W3102225249","https://openalex.org/W3123623255","https://openalex.org/W3132720081","https://openalex.org/W3166841330","https://openalex.org/W3172873108","https://openalex.org/W3186281556","https://openalex.org/W4388441807","https://openalex.org/W6637433312","https://openalex.org/W6941701507"],"related_works":["https://openalex.org/W2889261288","https://openalex.org/W1984359518","https://openalex.org/W3041490575","https://openalex.org/W1550757207","https://openalex.org/W4386898430","https://openalex.org/W51653785","https://openalex.org/W1519338247","https://openalex.org/W2949821122","https://openalex.org/W2969438499","https://openalex.org/W2970690932"],"abstract_inverted_index":{"In":[0,41],"addition":[1],"to":[2,32,71,88,105,183],"their":[3],"importance":[4],"in":[5,22,162],"statistical":[6],"thermodynamics,":[7],"probabilistic":[8],"entropy":[9,55,107,140],"measurements":[10],"are":[11],"crucial":[12],"for":[13,49,172,188],"understanding":[14],"and":[15,25,34,59,95,142,178],"analyzing":[16],"complex":[17,193],"systems,":[18],"with":[19],"diverse":[20],"applications":[21],"time":[23],"series":[24],"one-dimensional":[26],"profiles.":[27],"However,":[28],"extending":[29],"these":[30],"methods":[31],"two-":[33],"three-dimensional":[35],"data":[36],"still":[37],"requires":[38],"further":[39],"development.":[40],"this":[42,163],"study,":[43],"we":[44,63,111],"present":[45,112],"a":[46,109,116,143,166],"new":[47,144],"method":[48,114],"classifying":[50],"spatiotemporal":[51,194],"processes":[52,69],"based":[53,146],"on":[54,147],"measurements.":[56],"To":[57],"test":[58],"validate":[60],"the":[61,72,113,121,127,157,189],"method,":[62],"selected":[64,129],"five":[65,128],"classes":[66],"of":[67,74,120,126,137,159,175,192],"similar":[68],"related":[70],"evolution":[73],"random":[75],"patterns:":[76],"(i)":[77],"white":[78],"noise;":[79,82],"(ii)":[80],"red":[81],"(iii)":[83],"weak":[84],"turbulence":[85,98],"from":[86,99,108],"reaction":[87,160],"diffusion;":[89],"(iv)":[90],"hydrodynamic":[91],"fully":[92],"developed":[93],"turbulence;":[94],"(v)":[96],"plasma":[97],"MHD.":[100],"Considering":[101],"seven":[102],"possible":[103],"ways":[104],"measure":[106],"matrix,":[110],"as":[115],"parameter":[117],"space":[118],"composed":[119],"two":[122],"best":[123],"separating":[124],"measures":[125],"classes.":[130],"The":[131],"results":[132],"highlight":[133],"better":[134],"combined":[135],"performance":[136],"Shannon":[138],"permutation":[139],"(SHp)":[141],"approach":[145],"Tsallis":[148],"Spectral":[149],"Permutation":[150],"Entropy":[151],"(Sqs).":[152],"Notably,":[153],"our":[154],"observations":[155],"reveal":[156],"segregation":[158],"terms":[161],"SHp\u00d7Sqs":[164],"space,":[165],"result":[167],"that":[168],"identifies":[169],"specific":[170],"sectors":[171],"each":[173],"class":[174],"dynamic":[176],"process,":[177],"it":[179],"can":[180],"be":[181],"used":[182],"train":[184],"machine":[185],"learning":[186],"models":[187],"automatic":[190],"classification":[191],"patterns.":[195]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
