{"id":"https://openalex.org/W2987265928","doi":"https://doi.org/10.3390/e21111112","title":"On Integrating Size and Shape Distributions into a Spatio-Temporal Information Entropy Framework","display_name":"On Integrating Size and Shape Distributions into a Spatio-Temporal Information Entropy Framework","publication_year":2019,"publication_date":"2019-11-13","ids":{"openalex":"https://openalex.org/W2987265928","doi":"https://doi.org/10.3390/e21111112","mag":"2987265928"},"language":"en","primary_location":{"id":"doi:10.3390/e21111112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21111112","pdf_url":"https://www.mdpi.com/1099-4300/21/11/1112/pdf?version=1574309219","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/1099-4300/21/11/1112/pdf?version=1574309219","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008517183","display_name":"Didier Leibovici","orcid":"https://orcid.org/0000-0002-3903-2443"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Didier G. Leibovici","raw_affiliation_strings":["School of mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, UK","SoMaS - School of Mathematics and Statistics [Sheffield] (University of Sheffield Hicks Building Hounsfield Road Sheffield S3 7RH - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0002-3903-2443","affiliations":[{"raw_affiliation_string":"School of mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"SoMaS - School of Mathematics and Statistics [Sheffield] (University of Sheffield Hicks Building Hounsfield Road Sheffield S3 7RH - United Kingdom)","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027849780","display_name":"Christophe Claramunt","orcid":"https://orcid.org/0000-0002-5586-1997"},"institutions":[{"id":"https://openalex.org/I183158303","display_name":"\u00c9cole Navale","ror":"https://ror.org/030txnd05","country_code":"FR","type":"education","lineage":["https://openalex.org/I183158303"]},{"id":"https://openalex.org/I2801296886","display_name":"Institut de Recherche de l\u2019\u00c9cole Navale","ror":"https://ror.org/01v6shv96","country_code":"FR","type":"facility","lineage":["https://openalex.org/I183158303","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I2801296886","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Claramunt","raw_affiliation_strings":["Naval Academy Research Institute, 29240 Brest CEDEX 9, France","IRENAV - Institut de Recherche de l'Ecole Navale (F-29240 Brest - France)"],"raw_orcid":"https://orcid.org/0000-0002-5586-1997","affiliations":[{"raw_affiliation_string":"Naval Academy Research Institute, 29240 Brest CEDEX 9, France","institution_ids":["https://openalex.org/I2801296886"]},{"raw_affiliation_string":"IRENAV - Institut de Recherche de l'Ecole Navale (F-29240 Brest - France)","institution_ids":["https://openalex.org/I183158303","https://openalex.org/I2801296886"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008517183"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.835,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74196689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"11","first_page":"1112","last_page":"1112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9103999733924866,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9103999733924866,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10226","display_name":"Land Use and Ecosystem Services","score":0.9077000021934509,"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"}},{"id":"https://openalex.org/T10029","display_name":"Climate variability and models","score":0.9021999835968018,"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/categorical-variable","display_name":"Categorical variable","score":0.68598473072052},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6091139316558838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5299777984619141},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.47716087102890015},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.45385441184043884},{"id":"https://openalex.org/keywords/temporal-scales","display_name":"Temporal scales","score":0.4357570707798004},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.43482452630996704},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.43049943447113037},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.39271387457847595},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34421995282173157},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32774752378463745},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27807295322418213},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.25792843103408813},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24798566102981567},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21473565697669983}],"concepts":[{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.68598473072052},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6091139316558838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5299777984619141},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.47716087102890015},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.45385441184043884},{"id":"https://openalex.org/C2777489503","wikidata":"https://www.wikidata.org/wiki/Q7698936","display_name":"Temporal scales","level":2,"score":0.4357570707798004},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.43482452630996704},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.43049943447113037},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.39271387457847595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34421995282173157},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32774752378463745},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27807295322418213},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.25792843103408813},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24798566102981567},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21473565697669983},{"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":7,"locations":[{"id":"doi:10.3390/e21111112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21111112","pdf_url":"https://www.mdpi.com/1099-4300/21/11/1112/pdf?version=1574309219","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:eprints.whiterose.ac.uk:154001","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:sam.ensam.eu:10985/20165","is_oa":true,"landing_page_url":"http://hdl.handle.net/10985/20165","pdf_url":"http://hdl.handle.net/10985/20165","source":{"id":"https://openalex.org/S4306400009","display_name":"SAM, the Arts et M\u00e9tiers ParisTech open access repository (Paris Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190752583","host_organization_name":"ParisTech","host_organization_lineage":["https://openalex.org/I190752583"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hdl.handle.net/10985/20165","raw_type":null},{"id":"pmh:oai:HAL:hal-03200209v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03200209","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2019, 21 (11), pp.1112. ⟨10.3390/e21111112⟩","raw_type":"Journal articles"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/11/1112/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21111112","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","raw_type":"Text"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/75783","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/75783","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514456","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514456","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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"}],"best_oa_location":{"id":"doi:10.3390/e21111112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21111112","pdf_url":"https://www.mdpi.com/1099-4300/21/11/1112/pdf?version=1574309219","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6499999761581421}],"awards":[{"id":"https://openalex.org/G2805142990","display_name":null,"funder_award_id":"76413","funder_id":"https://openalex.org/F4320322885","funder_display_name":"NordForsk"}],"funders":[{"id":"https://openalex.org/F4320320342","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044"},{"id":"https://openalex.org/F4320322885","display_name":"NordForsk","ror":"https://ror.org/05bqzfg94"},{"id":"https://openalex.org/F4320337624","display_name":"U.S. Naval Academy","ror":"https://ror.org/00znex860"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2987265928.pdf","grobid_xml":"https://content.openalex.org/works/W2987265928.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1259078","https://openalex.org/W1531312210","https://openalex.org/W1588713494","https://openalex.org/W1854839405","https://openalex.org/W1973091306","https://openalex.org/W1991263956","https://openalex.org/W2002830978","https://openalex.org/W2014683958","https://openalex.org/W2015583498","https://openalex.org/W2047593398","https://openalex.org/W2063548203","https://openalex.org/W2065928352","https://openalex.org/W2122937694","https://openalex.org/W2136642200","https://openalex.org/W2150159788","https://openalex.org/W2152068180","https://openalex.org/W2154002592","https://openalex.org/W2158304989","https://openalex.org/W2159977619","https://openalex.org/W2248675947","https://openalex.org/W2404400936","https://openalex.org/W2601401167","https://openalex.org/W2749543902","https://openalex.org/W2778580359","https://openalex.org/W2780582324","https://openalex.org/W2793294044","https://openalex.org/W2809875414","https://openalex.org/W2945522697","https://openalex.org/W2951908661","https://openalex.org/W2963300986","https://openalex.org/W3104202101","https://openalex.org/W4300635240","https://openalex.org/W6631986881"],"related_works":["https://openalex.org/W3105581519","https://openalex.org/W3032013634","https://openalex.org/W2889261288","https://openalex.org/W2492100837","https://openalex.org/W1595266364","https://openalex.org/W1519338247","https://openalex.org/W2949821122","https://openalex.org/W2388154903","https://openalex.org/W2075237332","https://openalex.org/W2518518020"],"abstract_inverted_index":{"Understanding":[0],"the":[1,23,35,55,80,92,99,103,108,112,122,131,160,168,184,193,204,230],"structuration":[2,158],"of":[3,58,82,94,96,105,107,126,133,159,167,203,221,229,233,246],"spatio-temporal":[4,56,109,144,157,185,205],"information":[5,74,161],"is":[6,33,115,153,190],"a":[7,62,85,143,156,165,219,238],"common":[8],"endeavour":[9],"to":[10,28,141,163,182,192,196,223,241],"many":[11],"disciplines":[12],"and":[13,43,130,200,244],"application":[14],"domains,":[15],"e.g.,":[16,47],"geography,":[17],"ecology,":[18],"urban":[19,50],"planning,":[20],"epidemiology.":[21],"Revealing":[22],"processes":[24],"involved,":[25],"in":[26,88,111,137,250],"relation":[27],"one":[29],"or":[30,70,178],"more":[31],"phenomena,":[32],"often":[34,116],"first":[36],"step":[37],"before":[38],"elaborating":[39],"spatial":[40,177],"functioning":[41],"theories":[42],"specific":[44],"planning":[45],"actions,":[46],"epidemiological":[48],"modelling,":[49],"planning.":[51],"To":[52],"do":[53],"so,":[54],"distributions":[57,100],"meaningful":[59],"variables":[60],"from":[61,72,121,210],"decision-making":[63],"viewpoint,":[64],"can":[65,172],"be":[66],"explored,":[67],"analysed":[68],"separately":[69],"jointly":[71],"an":[73],"viewpoint.":[75],"Using":[76],"metrics":[77,113],"based":[78,154],"on":[79,155,237],"measure":[81],"entropy":[83,135,145,170,180,195,201],"has":[84],"long":[86],"practice":[87],"these":[89,211],"domains":[90,222],"with":[91],"aim":[93],"quantification":[95,202],"how":[97],"uniform":[98],"are.":[101],"However,":[102],"level":[104],"embedding":[106],"dimension":[110],"used":[114,136],"minimal.":[117],"This":[118],"paper":[119],"borrows":[120],"landscape":[123],"ecology":[124],"concept":[125],"patch":[127],"size":[128],"distribution":[129],"approach":[132],"permutation":[134],"biomedical":[138],"signal":[139],"processing":[140],"derive":[142],"analysis":[146,189],"framework":[147,152],"for":[148,218],"categorical":[149],"variables.":[150],"The":[151,208],"allowing":[162],"use":[164],"decomposition":[166,194,199],"Shannon":[169],"which":[171,234],"also":[173],"embrace":[174],"some":[175,232],"existing":[176],"temporal":[179],"indices":[181],"reinforce":[183],"structuration.":[186],"Multiway":[187],"correspondence":[188],"coupled":[191],"propose":[197],"further":[198],"structuring":[206],"information.":[207],"flexibility":[209],"different":[212],"choices,":[213],"including":[214],"geographic":[215],"scales,":[216],"allows":[217],"range":[220],"take":[224],"into":[225],"account":[226],"domain":[227],"specifics":[228],"data;":[231],"are":[235],"explored":[236],"dataset":[239],"linked":[240],"climate":[242],"change":[243],"evolution":[245],"land":[247],"cover":[248],"types":[249],"Nordic":[251],"areas.":[252]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}