{"id":"https://openalex.org/W2292629714","doi":"https://doi.org/10.1137/15m1016515","title":"An Operatorial Description of Desertification","display_name":"An Operatorial Description of Desertification","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2292629714","doi":"https://doi.org/10.1137/15m1016515","mag":"2292629714"},"language":"en","primary_location":{"id":"doi:10.1137/15m1016515","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1016515","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"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/A5043441302","display_name":"\u0424\u0430\u0431\u0438\u043e \u0411\u0430\u0433\u0430\u0440\u0435\u043b\u043b\u043e","orcid":"https://orcid.org/0000-0002-4454-091X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fabio Bagarello","raw_affiliation_strings":["Ingegneria"],"affiliations":[{"raw_affiliation_string":"Ingegneria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071503359","display_name":"Anna Maria Cherubini","orcid":"https://orcid.org/0000-0002-2874-1455"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Maria Cherubini","raw_affiliation_strings":["University of Salento"],"affiliations":[{"raw_affiliation_string":"University of Salento","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064077589","display_name":"Francesco Oliveri","orcid":"https://orcid.org/0000-0002-5614-1457"},"institutions":[{"id":"https://openalex.org/I112862951","display_name":"University of Messina","ror":"https://ror.org/05ctdxz19","country_code":"IT","type":"education","lineage":["https://openalex.org/I112862951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Oliveri","raw_affiliation_strings":["Univ. of Messina"],"affiliations":[{"raw_affiliation_string":"Univ. of Messina","institution_ids":["https://openalex.org/I112862951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043441302"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1113,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.96363842,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"76","issue":"2","first_page":"479","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9998999834060669,"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/T10005","display_name":"Ecology and Vegetation Dynamics Studies","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2309","display_name":"Nature and Landscape Conservation"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/desertification","display_name":"Desertification","score":0.8753578662872314},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.567071259021759},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5450577735900879},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5354170203208923},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.506719172000885},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.49927425384521484},{"id":"https://openalex.org/keywords/ecosystem","display_name":"Ecosystem","score":0.4630933105945587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4323437809944153},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40396106243133545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38312840461730957},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34628069400787354},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.3376276195049286},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.31998735666275024},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26338452100753784},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.1468268632888794},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.10949563980102539},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07689648866653442}],"concepts":[{"id":"https://openalex.org/C33559203","wikidata":"https://www.wikidata.org/wiki/Q183481","display_name":"Desertification","level":2,"score":0.8753578662872314},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.567071259021759},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5450577735900879},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5354170203208923},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.506719172000885},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.49927425384521484},{"id":"https://openalex.org/C110872660","wikidata":"https://www.wikidata.org/wiki/Q37813","display_name":"Ecosystem","level":2,"score":0.4630933105945587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4323437809944153},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40396106243133545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38312840461730957},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34628069400787354},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.3376276195049286},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.31998735666275024},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26338452100753784},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1468268632888794},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10949563980102539},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07689648866653442},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1016515","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1016515","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unipa.it:10447/194958","is_oa":false,"landing_page_url":"http://hdl.handle.net/10447/194958","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W330247109","https://openalex.org/W388318502","https://openalex.org/W1492040047","https://openalex.org/W1963923088","https://openalex.org/W1966118364","https://openalex.org/W1966512215","https://openalex.org/W1971674131","https://openalex.org/W1971813899","https://openalex.org/W1988404540","https://openalex.org/W1995043208","https://openalex.org/W2000596748","https://openalex.org/W2019177912","https://openalex.org/W2034612930","https://openalex.org/W2040433382","https://openalex.org/W2047026667","https://openalex.org/W2047586434","https://openalex.org/W2056783792","https://openalex.org/W2058430188","https://openalex.org/W2065189718","https://openalex.org/W2068752932","https://openalex.org/W2090647103","https://openalex.org/W2094956419","https://openalex.org/W2101173516","https://openalex.org/W2105801075","https://openalex.org/W2116199452","https://openalex.org/W2122621577","https://openalex.org/W2127726653","https://openalex.org/W2136253503","https://openalex.org/W2153268540","https://openalex.org/W2164575404","https://openalex.org/W2323174383","https://openalex.org/W2328977370","https://openalex.org/W2798647535","https://openalex.org/W2963777114","https://openalex.org/W3004153560","https://openalex.org/W3037262249","https://openalex.org/W3098642511","https://openalex.org/W3106229234","https://openalex.org/W4255217598"],"related_works":["https://openalex.org/W2394334517","https://openalex.org/W2008944975","https://openalex.org/W2029530752","https://openalex.org/W2347738595","https://openalex.org/W2360392493","https://openalex.org/W1581013488","https://openalex.org/W2372681743","https://openalex.org/W1991713547","https://openalex.org/W2548192058","https://openalex.org/W2351693990"],"abstract_inverted_index":{"We":[0,41,83],"propose":[1],"a":[2,18,26,37,49,68,99],"simple":[3],"theoretical":[4],"model":[5,66,88,97],"for":[6,53,112],"desertification":[7,73,146],"processes":[8],"based":[9],"on":[10,17,56,98,139],"three":[11],"actors":[12],"(soil,":[13],"seeds,":[14],"and":[15,31,75,116],"plants)":[16],"two-dimensional":[19,100],"lattice.":[20],"Each":[21],"actor":[22],"is":[23,34],"described":[24],"by":[25,36],"time":[27],"dependent":[28],"fermionic":[29],"operator,":[30],"the":[32,57,60,65,72,86,95,110,117,123,134,145],"dynamics":[33],"ruled":[35],"self-adjoint":[38],"Hamilton-like":[39],"operator.":[40],"show":[42],"that":[43],"even":[44],"taking":[45,102],"into":[46,103],"account":[47,104],"only":[48],"few":[50],"parameters,":[51],"accounting":[52],"external":[54],"actions":[55],"ecosystem":[58],"or":[59,127,143],"response":[61],"to":[62,79,122,132],"positive":[63,137],"feedbacks,":[64],"provides":[67],"plausible":[69],"description":[70],"of":[71,119,125,136],"process,":[74],"can":[76],"be":[77],"adapted":[78],"different":[80],"ecological":[81],"landscapes.":[82],"first":[84],"describe":[85],"simplified":[87],"in":[89],"one":[90],"cell.":[91],"Then,":[92],"we":[93],"define":[94],"full":[96],"region,":[101],"additional":[105],"factors":[106],"such":[107],"as":[108],"nonhomogeneities,":[109],"competition":[111],"resources":[113],"between":[114],"plants,":[115],"spread":[118],"seeds":[120],"due":[121],"action":[124],"wind":[126],"animals.":[128],"This":[129],"allows":[130],"us":[131],"explore":[133],"effects":[135],"feedback":[138],"slowing":[140],"down,":[141],"stopping,":[142],"reversing":[144],"process.":[147]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
