{"id":"https://openalex.org/W3010069386","doi":"https://doi.org/10.3103/s0146411619070174","title":"Estimating the Average Temporal Benefit in Probabilistic Environmental\u2013Economic Models","display_name":"Estimating the Average Temporal Benefit in Probabilistic Environmental\u2013Economic Models","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3010069386","doi":"https://doi.org/10.3103/s0146411619070174","mag":"3010069386"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411619070174","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411619070174","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","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/A5065610720","display_name":"L. I. Rodina","orcid":"https://orcid.org/0000-0003-1077-2189"},"institutions":[{"id":"https://openalex.org/I4210109043","display_name":"Vladimir State University","ror":"https://ror.org/01nxjpd08","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210109043"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"L. I. Rodina","raw_affiliation_strings":["Stoletovs Vladimir State University, 600000, Vladimir, Russia"],"affiliations":[{"raw_affiliation_string":"Stoletovs Vladimir State University, 600000, Vladimir, Russia","institution_ids":["https://openalex.org/I4210109043"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004468543","display_name":"Ilya I. Tyuteev","orcid":null},"institutions":[{"id":"https://openalex.org/I57570584","display_name":"Udmurt State University","ror":"https://ror.org/00yp6m473","country_code":"RU","type":"education","lineage":["https://openalex.org/I57570584"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"I. I. Tyuteev","raw_affiliation_strings":["Udmurt State University, 426034, Izhevsk, Russia"],"affiliations":[{"raw_affiliation_string":"Udmurt State University, 426034, Izhevsk, Russia","institution_ids":["https://openalex.org/I57570584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004468543","https://openalex.org/A5065610720"],"corresponding_institution_ids":["https://openalex.org/I4210109043","https://openalex.org/I57570584"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26431185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"7","first_page":"730","last_page":"737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10471","display_name":"Climate Change Policy and Economics","score":0.9988999962806702,"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/T10471","display_name":"Climate Change Policy and Economics","score":0.9988999962806702,"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/T10841","display_name":"Economic and Environmental Valuation","score":0.995199978351593,"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/T11976","display_name":"Capital Investment and Risk Analysis","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5621802806854248},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5497857928276062},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5067549347877502},{"id":"https://openalex.org/keywords/impulse-control","display_name":"Impulse control","score":0.47304099798202515},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.45843204855918884},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4469274878501892},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.42473074793815613},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38736552000045776},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34155482053756714},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31954362988471985},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.10275706648826599},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09253126382827759},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.07428115606307983}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5621802806854248},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5497857928276062},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5067549347877502},{"id":"https://openalex.org/C3018727167","wikidata":"https://www.wikidata.org/wiki/Q6033829","display_name":"Impulse control","level":2,"score":0.47304099798202515},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.45843204855918884},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4469274878501892},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.42473074793815613},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38736552000045776},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34155482053756714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31954362988471985},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.10275706648826599},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09253126382827759},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.07428115606307983},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411619070174","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411619070174","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W266495965","https://openalex.org/W1965730581","https://openalex.org/W2007825055","https://openalex.org/W2023040309","https://openalex.org/W2034061709","https://openalex.org/W2053581859","https://openalex.org/W2064975723","https://openalex.org/W2074631671","https://openalex.org/W2107008853","https://openalex.org/W2400940915","https://openalex.org/W2483859030","https://openalex.org/W2753933954","https://openalex.org/W2801349031","https://openalex.org/W3122176142"],"related_works":["https://openalex.org/W3125195051","https://openalex.org/W3148076399","https://openalex.org/W2284504457","https://openalex.org/W2768870765","https://openalex.org/W3011013325","https://openalex.org/W3039712244","https://openalex.org/W2766239760","https://openalex.org/W2775061757","https://openalex.org/W2528897935","https://openalex.org/W3013770452"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"environmental\u2013economic":[3],"models":[4],"of":[5,22,29,39,53,63,72,96,137,187,194,202,229,238,267,274,286],"optimal":[6],"harvesting,":[7,73],"given":[8,217],"by":[9,79,288],"impulsive":[10,58],"differential":[11,81],"equations,":[12],"which":[13,183,254,271],"depend":[14,42],"on":[15,43],"random":[16,34,44,94],"parameters.":[17],"We":[18,108,172],"assume":[19],"that":[20,60,115,199,245],"lengths":[21],"intervals":[23],"$${{\\theta":[24],"}_{k}}$$":[25,32,92,197],"between":[26],"the":[27,37,64,70,74,80,106,111,128,135,138,142,161,174,188,200,203,216,227,230,236,255,259,265,272,275,284,289],"moments":[28],"impulses":[30],"$${{\\tau":[31,91,196,209],"are":[33,240],"variables":[35],"and":[36,87],"sizes":[38],"impulse":[40],"influence":[41],"parameters":[45],"$${{{v}}_{k}},$$$$k":[46,98],"=":[47,85,99,146,177],"1,2,":[48,100],"\\ldots":[49,101,179,181],"$$":[50,102],"One":[51],"example":[52],"such":[54],"objects":[55],"is":[56,77,103,160,243,247],"an":[57,149],"equation":[59,82,143],"simulates":[61],"dynamics":[62],"population":[65,75,268],"subject":[66],"to":[67,116,126,133],"harvesting.":[68],"In":[69],"absence":[71],"development":[76],"described":[78,264],"$$\\dot":[83,144],"{x}":[84,145],"g(x),$$":[86],"in":[88],"time":[89,195,277],"points":[90],"some":[93,207],"share":[95,121,186],"resource":[97,132,190],"taken":[104],"from":[105],"population.":[107],"can":[109,279],"control":[110,175,269],"gathering":[112],"process":[113],"so":[114,198],"stop":[117],"harvesting":[118],"when":[119],"its":[120],"will":[122],"appear":[123],"big":[124],"enough":[125],"save":[127],"biggest":[129],"possible":[130],"remaining":[131,204],"increase":[134],"size":[136],"next":[139],"gathering.":[140],"Let":[141],"g(x)$$":[147],"have":[148],"asymptotic":[150],"stable":[151],"solution":[152],"$$\\varphi":[153],"(t)":[154],"\\equiv":[155],"K,$$":[156],"whose":[157],"attraction":[158],"region":[159],"interval":[162],"$$({{K}_{1}},{{K}_{2}}),$$":[163],"where":[164],"$$0":[165],"\\leqslant":[166],"{{K}_{1}}":[167],"<":[168,170],"K":[169],"{{K}_{2}}.$$":[171],"construct":[173],"$$u":[176],"({{u}_{1}},":[178],",{{u}_{k}},":[180],"),$$":[182],"limits":[184],"a":[185,248],"harvested":[189],"at":[191,253,270],"each":[192],"moment":[193,208],"quantity":[201],"resource,":[205],"since":[206],"}_{{{{k}_{0}}}}},$$":[210],"would":[211],"be":[212,280],"not":[213],"less":[214],"than":[215],"value":[218,273],"$$x":[219,224],"\\in":[220,225,251],"({{K}_{1}},K).$$":[221],"For":[222],"any":[223],"({{K}_{1}},K)$$":[226],"estimates":[228],"average":[231,276],"temporal":[232],"benefit,":[233],"valid":[234],"with":[235,283],"probability":[237,285],"one,":[239],"obtained.":[241],"It":[242],"shown":[244],"there":[246],"unique":[249],"$$x*":[250],"({{K}_{1}},K),$$":[252],"lower":[256,281],"estimate":[257],"reaches":[258],"greatest":[260,290],"value.":[261],"Thus,":[262],"we":[263],"way":[266],"profit":[278],"estimated":[282],"one":[287],"number":[291],"whenever":[292],"possible.":[293]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}