{"id":"https://openalex.org/W4224947665","doi":"https://doi.org/10.3390/rs14092055","title":"Fitting Nonlinear Equations with the Levenberg\u2013Marquardt Method on Google Earth Engine","display_name":"Fitting Nonlinear Equations with the Levenberg\u2013Marquardt Method on Google Earth Engine","publication_year":2022,"publication_date":"2022-04-25","ids":{"openalex":"https://openalex.org/W4224947665","doi":"https://doi.org/10.3390/rs14092055"},"language":"en","primary_location":{"id":"doi:10.3390/rs14092055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs14092055","pdf_url":"https://www.mdpi.com/2072-4292/14/9/2055/pdf?version=1650880234","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"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":"Remote Sensing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2072-4292/14/9/2055/pdf?version=1650880234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045388407","display_name":"Shujian Wang","orcid":"https://orcid.org/0000-0003-4711-055X"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shujian Wang","raw_affiliation_strings":["College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China"],"affiliations":[{"raw_affiliation_string":"College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100413863","display_name":"Ming Xu","orcid":"https://orcid.org/0000-0002-7106-8390"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Ming Xu","raw_affiliation_strings":["College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China","Jiangmen Laboratory of Carbon Science and Technology, Hong Kong University of Science and Technology, Jiangmen 529000, China"],"affiliations":[{"raw_affiliation_string":"College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"Jiangmen Laboratory of Carbon Science and Technology, Hong Kong University of Science and Technology, Jiangmen 529000, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053738936","display_name":"Xunhe Zhang","orcid":"https://orcid.org/0000-0002-9188-8863"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xunhe Zhang","raw_affiliation_strings":["College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China"],"affiliations":[{"raw_affiliation_string":"College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107904443","display_name":"Yuting Wang","orcid":"https://orcid.org/0009-0004-9391-2734"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuting Wang","raw_affiliation_strings":["College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China"],"affiliations":[{"raw_affiliation_string":"College of Geography and Environmental Science, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China","institution_ids":["https://openalex.org/I173899330"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100413863"],"corresponding_institution_ids":["https://openalex.org/I173899330","https://openalex.org/I200769079"],"apc_list":{"value":2500,"currency":"CHF","value_usd":2707},"apc_paid":{"value":2500,"currency":"CHF","value_usd":2707},"fwci":2.0444,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85918737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"9","first_page":"2055","last_page":"2055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10111","display_name":"Remote Sensing in Agriculture","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"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/T10111","display_name":"Remote Sensing in Agriculture","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"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/T14365","display_name":"Leaf Properties and Growth Measurement","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10266","display_name":"Plant Water Relations and Carbon Dynamics","score":0.9922000169754028,"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/nonlinear-system","display_name":"Nonlinear system","score":0.681330144405365},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5162534713745117},{"id":"https://openalex.org/keywords/nonlinear-regression","display_name":"Nonlinear regression","score":0.4858793616294861},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4828958511352539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47293901443481445},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.47274813055992126},{"id":"https://openalex.org/keywords/gee","display_name":"Gee","score":0.4509741961956024},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4466087818145752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4270889163017273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39857378602027893},{"id":"https://openalex.org/keywords/generalized-estimating-equation","display_name":"Generalized estimating equation","score":0.35012727975845337},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3406044840812683},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.301163911819458},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.20873600244522095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0859965980052948}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.681330144405365},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5162534713745117},{"id":"https://openalex.org/C46889948","wikidata":"https://www.wikidata.org/wiki/Q2755024","display_name":"Nonlinear regression","level":3,"score":0.4858793616294861},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4828958511352539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47293901443481445},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.47274813055992126},{"id":"https://openalex.org/C53084192","wikidata":"https://www.wikidata.org/wiki/Q1485121","display_name":"Gee","level":3,"score":0.4509741961956024},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4466087818145752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4270889163017273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39857378602027893},{"id":"https://openalex.org/C27403532","wikidata":"https://www.wikidata.org/wiki/Q5532474","display_name":"Generalized estimating equation","level":2,"score":0.35012727975845337},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3406044840812683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.301163911819458},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.20873600244522095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0859965980052948},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/rs14092055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs14092055","pdf_url":"https://www.mdpi.com/2072-4292/14/9/2055/pdf?version=1650880234","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"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":"Remote Sensing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a8d0f341fb1944b797e2706df251667f","is_oa":true,"landing_page_url":"https://doaj.org/article/a8d0f341fb1944b797e2706df251667f","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":"Remote Sensing, Vol 14, Iss 9, p 2055 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2072-4292/14/9/2055/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/rs14092055","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":"Pages: 2055","raw_type":"Text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-117346","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-85129752994&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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"},{"id":"pmh:oai:repository.ust.hk:1783.1-117346","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-117346","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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"}],"best_oa_location":{"id":"doi:10.3390/rs14092055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs14092055","pdf_url":"https://www.mdpi.com/2072-4292/14/9/2055/pdf?version=1650880234","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"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":"Remote Sensing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G2990338146","display_name":null,"funder_award_id":"2018YFA0606500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G451507479","display_name":null,"funder_award_id":"2017YFA0604302","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G466649759","display_name":null,"funder_award_id":"2017Y","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8340078520","display_name":null,"funder_award_id":"2017YF","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4224947665.pdf","grobid_xml":"https://content.openalex.org/works/W4224947665.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W173320072","https://openalex.org/W1536816303","https://openalex.org/W1963913232","https://openalex.org/W1966523582","https://openalex.org/W1972099184","https://openalex.org/W1993589255","https://openalex.org/W2000221897","https://openalex.org/W2006544565","https://openalex.org/W2007103412","https://openalex.org/W2010584785","https://openalex.org/W2026943567","https://openalex.org/W2035234551","https://openalex.org/W2037128090","https://openalex.org/W2046915036","https://openalex.org/W2057418187","https://openalex.org/W2087070363","https://openalex.org/W2093919938","https://openalex.org/W2099098700","https://openalex.org/W2100717205","https://openalex.org/W2129685038","https://openalex.org/W2154787631","https://openalex.org/W2159336103","https://openalex.org/W2236623899","https://openalex.org/W2567576169","https://openalex.org/W2725897987","https://openalex.org/W2801667818","https://openalex.org/W2890225206","https://openalex.org/W2896353007","https://openalex.org/W2902432925","https://openalex.org/W2904182235","https://openalex.org/W2914985931","https://openalex.org/W2921701549","https://openalex.org/W2936375807","https://openalex.org/W2980091708","https://openalex.org/W2983934953","https://openalex.org/W2990259822","https://openalex.org/W2995682065","https://openalex.org/W2999497855","https://openalex.org/W3023058341","https://openalex.org/W3082766779","https://openalex.org/W3107742288","https://openalex.org/W6632084258","https://openalex.org/W6636600811","https://openalex.org/W6650735356","https://openalex.org/W6752018322","https://openalex.org/W6755421517","https://openalex.org/W6761850539","https://openalex.org/W6772961643","https://openalex.org/W6786540520"],"related_works":["https://openalex.org/W2363926121","https://openalex.org/W2070243348","https://openalex.org/W1988971925","https://openalex.org/W1855024394","https://openalex.org/W2810368072","https://openalex.org/W188365466","https://openalex.org/W2169152159","https://openalex.org/W2063585734","https://openalex.org/W2203203921","https://openalex.org/W2084081473"],"abstract_inverted_index":{"Google":[0],"Earth":[1],"Engine":[2],"(GEE)":[3],"has":[4],"been":[5],"widely":[6],"used":[7,77,207],"to":[8,33,63,97,123,161,208],"process":[9],"geospatial":[10],"data":[11,160],"in":[12,183],"recent":[13],"years.":[14],"Although":[15],"the":[16,31,38,55,81,92,98,104,111,120,130,144,162,168,175,192,195,201,221],"current":[17],"GEE":[18,39,131,163,176,222],"platform":[19,177],"includes":[20],"functions":[21],"for":[22,59,129,174],"fitting":[23,60,79,127,139,170,184],"linear":[24],"regression":[25],"models,":[26,36],"it":[27],"does":[28],"not":[29],"have":[30],"function":[32,128,137,171,203],"fit":[34,209],"nonlinear":[35,61,78,84,126,169,202,213],"limiting":[37],"platform\u2019s":[40],"capacity":[41],"and":[42,68,83,110,155,181],"application.":[43],"To":[44],"circumvent":[45],"this":[46,48,136],"limitation,":[47],"work":[49],"proposes":[50],"a":[51,64,125,140],"general":[52],"adaptation":[53],"of":[54,113,194,212,218],"Levenberg\u2013Marquardt":[56],"(LM)":[57],"method":[58,94,100,122],"models":[62,186],"parallel":[65],"processing":[66],"framework":[67],"its":[69],"integration":[70],"into":[71],"GEE.":[72],"We":[73,89,133,165],"compared":[74,103],"two":[75],"commonly":[76],"methods,":[80],"LM":[82,93,121,196],"least":[85],"square":[86],"(NLS)":[87],"methods.":[88],"found":[90],"that":[91,167,200],"was":[95,178],"superior":[96],"NLS":[99],"when":[101],"we":[102,117,172,198],"convergence":[105],"speed,":[106],"initial":[107],"value":[108],"stability,":[109],"accuracy":[112],"fitted":[114],"parameters;":[115],"therefore,":[116],"then":[118],"applied":[119],"develop":[124],"platform.":[132,164,223],"further":[134],"tested":[135],"by":[138],"double-logistic":[141,185],"equation":[142],"with":[143,187,215],"global":[145],"leaf":[146],"area":[147],"index":[148,153,158],"(LAI),":[149],"normalized":[150],"difference":[151],"vegetation":[152,157],"(NDVI),":[154],"enhanced":[156],"(EVI)":[159],"concluded":[166],"developed":[173],"fast,":[179],"stable,":[180],"accurate":[182],"remote":[188],"sensing":[189],"data.":[190],"Given":[191],"generality":[193],"algorithm,":[197],"believe":[199],"can":[204],"also":[205],"be":[206],"other":[210,216],"types":[211],"equations":[214],"sorts":[217],"datasets":[219],"on":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}