{"id":"https://openalex.org/W7140634895","doi":"https://doi.org/10.5194/egusphere-2026-1279","title":"Technical Note: Cluster Analysis of Inverse Thermochronology Models","display_name":"Technical Note: Cluster Analysis of Inverse Thermochronology Models","publication_year":2026,"publication_date":"2026-03-26","ids":{"openalex":"https://openalex.org/W7140634895","doi":"https://doi.org/10.5194/egusphere-2026-1279"},"language":"en","primary_location":{"id":"doi:10.5194/egusphere-2026-1279","doi":"https://doi.org/10.5194/egusphere-2026-1279","is_oa":true,"landing_page_url":"https://doi.org/10.5194/egusphere-2026-1279","pdf_url":"https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1279/egusphere-2026-1279.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"EGUsphere","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1279/egusphere-2026-1279.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015662986","display_name":"Tobias Stephan","orcid":"https://orcid.org/0000-0002-9290-014X","observed_orcids":["https://orcid.org/0000-0002-9290-014X"]},"institutions":[{"id":"https://openalex.org/I72541430","display_name":"Lakehead University","ror":"https://ror.org/023p7mg82","country_code":"CA","type":"education","lineage":["https://openalex.org/I72541430"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Tobias Stephan","raw_affiliation_strings":["Lakehead University (Thunder Bay, Canada)"],"raw_orcid":"https://orcid.org/0000-0002-9290-014X","affiliations":[{"raw_affiliation_string":"Lakehead University (Thunder Bay, Canada)","institution_ids":["https://openalex.org/I72541430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001554655","display_name":"Ta\u00eds Fontes Pinto","orcid":"https://orcid.org/0009-0003-4762-9156","observed_orcids":["https://orcid.org/0009-0003-4762-9156"]},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ta\u00eds Fontes Pinto","raw_affiliation_strings":["University of Calgary, Department of Earth, Energy and Environment, Calgary, AB, Canada T2N 1N4"],"raw_orcid":"https://orcid.org/0009-0003-4762-9156","affiliations":[{"raw_affiliation_string":"University of Calgary, Department of Earth, Energy and Environment, Calgary, AB, Canada T2N 1N4","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101486016","display_name":"Eva Enkelmann","orcid":"https://orcid.org/0000-0002-1988-0760","observed_orcids":["https://orcid.org/0000-0002-1988-0760"]},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eva Enkelmann","raw_affiliation_strings":["University of Calgary, Department of Earth, Energy and Environment, Calgary, AB, Canada T2N 1N4"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Calgary, Department of Earth, Energy and Environment, Calgary, AB, Canada T2N 1N4","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015662986"],"corresponding_institution_ids":["https://openalex.org/I72541430"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10001","display_name":"Geological and Geochemical Analysis","score":0.8378999829292297,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10001","display_name":"Geological and Geochemical Analysis","score":0.8378999829292297,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.041099999099969864,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.015200000256299973,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/thermal-history","display_name":"thermal history","score":0.5899999737739563},{"id":"https://openalex.org/keywords/time-temperature-paths","display_name":"time-temperature paths","score":0.8659999966621399},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.9290000200271606},{"id":"https://openalex.org/keywords/frechet-distance","display_name":"Fr\u00e9chet distance","score":0.9549999833106995},{"id":"https://openalex.org/keywords/dissimilarity-measures","display_name":"dissimilarity measures","score":0.9449999928474426},{"id":"https://openalex.org/keywords/clustering","display_name":"clustering","score":0.6380000114440918},{"id":"https://openalex.org/keywords/nonuniqueness-of-solutions","display_name":"non-uniqueness of solutions","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6092000007629395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5529999732971191},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5336999893188477},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5306000113487244},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4772999882698059},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.45320001244544983},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.37389999628067017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3619000017642975},{"id":"https://openalex.org/C120894424","wikidata":"https://www.wikidata.org/wiki/Q1322871","display_name":"Exploratory data analysis","level":2,"score":0.3569999933242798},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.3562999963760376},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.34880000352859497},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.3472999930381775},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.34040001034736633},{"id":"https://openalex.org/C195963834","wikidata":"https://www.wikidata.org/wiki/Q3661541","display_name":"Thermochronology","level":3,"score":0.33469998836517334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3301999866962433},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.322299987077713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31940001249313354},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.30329999327659607},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.30070000886917114},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.2962000072002411},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C2984074130","wikidata":"https://www.wikidata.org/wiki/Q73539779","display_name":"R package","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.26269999146461487},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.25}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5194/egusphere-2026-1279","doi":"https://doi.org/10.5194/egusphere-2026-1279","is_oa":true,"landing_page_url":"https://doi.org/10.5194/egusphere-2026-1279","pdf_url":"https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1279/egusphere-2026-1279.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"EGUsphere","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.5194/egusphere-2026-1279","doi":"https://doi.org/10.5194/egusphere-2026-1279","is_oa":true,"landing_page_url":"https://doi.org/10.5194/egusphere-2026-1279","pdf_url":"https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1279/egusphere-2026-1279.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"EGUsphere","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7140634895.pdf","grobid_xml":"https://content.openalex.org/works/W7140634895.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1493454437","https://openalex.org/W1720381248","https://openalex.org/W1977556410","https://openalex.org/W1987971958","https://openalex.org/W2001900997","https://openalex.org/W2013565030","https://openalex.org/W2014440151","https://openalex.org/W2018009306","https://openalex.org/W2028344184","https://openalex.org/W2076943964","https://openalex.org/W2078214542","https://openalex.org/W2085938995","https://openalex.org/W2091480648","https://openalex.org/W2100060407","https://openalex.org/W2124299914","https://openalex.org/W2134312057","https://openalex.org/W2152825437","https://openalex.org/W2157963336","https://openalex.org/W2159325249","https://openalex.org/W2180566385","https://openalex.org/W2414895359","https://openalex.org/W2486730924","https://openalex.org/W2786672974","https://openalex.org/W2804233742","https://openalex.org/W2888523397","https://openalex.org/W2951197642","https://openalex.org/W2982437619","https://openalex.org/W3033247504","https://openalex.org/W3046858608","https://openalex.org/W3155105439","https://openalex.org/W4246354968","https://openalex.org/W4289529234","https://openalex.org/W4293749410","https://openalex.org/W4316463976","https://openalex.org/W4360862219","https://openalex.org/W4361200200","https://openalex.org/W4388943083","https://openalex.org/W4392907817","https://openalex.org/W4399570781","https://openalex.org/W4399570801","https://openalex.org/W4399583045","https://openalex.org/W4399584211","https://openalex.org/W4399612826","https://openalex.org/W4399636900"],"related_works":["https://openalex.org/W3202130611","https://openalex.org/W4392907817","https://openalex.org/W7130586454","https://openalex.org/W3203992431","https://openalex.org/W7135383256","https://openalex.org/W3082416015","https://openalex.org/W3157928546","https://openalex.org/W2992054912","https://openalex.org/W2147565295","https://openalex.org/W4391884678"],"abstract_inverted_index":{"Abstract.":[0],"Thermochronological":[1],"inverse":[2],"modeling":[3],"may":[4],"produce":[5],"none-unique":[6],"solution,":[7],"that":[8,47],"can":[9],"group":[10],"different":[11],"thermal":[12,70,76],"histories.":[13],"Objective":[14],"identification":[15],"of":[16,75,84,112,119],"such":[17,60],"groups,":[18],"also":[19],"referred":[20],"as":[21,61],"\"path":[22],"families\",":[23],"is":[24],"challenging":[25],"and":[26,49,99,102],"greatly":[27],"benefits":[28],"from":[29],"dimension-reducing":[30],"exploratory":[31],"data":[32],"analysis":[33],"tools.":[34],"This":[35],"article":[36,131],"proposes":[37],"a":[38,79,90],"statistical":[39],"algorithm":[40],"to":[41],"overcome":[42],"these":[43],"challenges.":[44],"We":[45],"show":[46],"Hausdorff":[48],"Frechet":[50],"distances":[51],"are":[52,132],"viable":[53],"dissimilarity":[54],"measures":[55],"for":[56,78,96,106],"ordered":[57],"point":[58],"sets,":[59],"time-temperature":[62,114],"paths.":[63],"Clustering":[64],"the":[65,113,120,123,126,136,142],"pairwise":[66],"dissimilarities":[67],"between":[68],"modeled":[69],"histories":[71,77],"reveals":[72],"distinct":[73],"groups":[74],"given":[80],"sample":[81],"or":[82],"set":[83],"samples.":[85],"As":[86],"demonstrated":[87],"by":[88,122],"clustering":[89],"natural":[91],"example,":[92],"automated":[93],"path-clustering":[94],"allows":[95],"an":[97],"objective":[98],"reproducible":[100],"interpretation":[101],"maybe":[103],"particularly":[104],"useful":[105],"samples":[107],"with":[108],"poor":[109],"prior":[110],"knowledge":[111],"history.":[115],"To":[116],"allow":[117],"adoption":[118],"method":[121],"thermochronology":[124],"community,":[125],"methods":[127],"introduced":[128],"in":[129,141],"this":[130],"freely":[133],"available":[134],"through":[135],"package":[137],"software":[138],"thermoclustr,":[139],"written":[140],"programming":[143],"language":[144],"R.":[145]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-03-27T00:00:00"}