{"id":"https://openalex.org/W2115237387","doi":"https://doi.org/10.1890/12-0960.1","title":"Phylogenetic beta diversity, similarity, and differentiation measures based on Hill numbers","display_name":"Phylogenetic beta diversity, similarity, and differentiation measures based on Hill numbers","publication_year":2013,"publication_date":"2013-05-29","ids":{"openalex":"https://openalex.org/W2115237387","doi":"https://doi.org/10.1890/12-0960.1","mag":"2115237387"},"language":"en","primary_location":{"id":"doi:10.1890/12-0960.1","doi":"https://doi.org/10.1890/12-0960.1","is_oa":false,"landing_page_url":"https://doi.org/10.1890/12-0960.1","pdf_url":null,"source":{"id":"https://openalex.org/S201386569","display_name":"Ecological Monographs","issn_l":"0012-9615","issn":["0012-9615","1557-7015"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ecological Monographs","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5049404782","display_name":"Chun\u2010Huo Chiu","orcid":"https://orcid.org/0000-0002-7096-2278","observed_orcids":["https://orcid.org/0000-0002-7096-2278"]},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]},{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chun-Huo Chiu","raw_affiliation_strings":["Institute of Statistics, National Chiao-Tung University, Hsin-Chu, Taiwan 30043","Institute of Statistics, National Tsing Hua University, Hsin-Chu, Taiwan 30043"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Chiao-Tung University, Hsin-Chu, Taiwan 30043","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsin-Chu, Taiwan 30043","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075193675","display_name":"Lou Jost","orcid":"https://orcid.org/0000-0002-5850-0716","observed_orcids":["https://orcid.org/0000-0002-5850-0716"]},"institutions":[{"id":"https://openalex.org/I4405273780","display_name":"Fundaci\u00f3n EcoMinga - Red de Protecci\u00f3n de Bosques Amenazados","ror":"https://ror.org/00f7qhf41","country_code":"EC","type":"nonprofit","lineage":["https://openalex.org/I4405273780"]}],"countries":["EC"],"is_corresponding":false,"raw_author_name":"Lou Jost","raw_affiliation_strings":["EcoMinga Foundation, Via a Runtun, Ban\u0303os, Tungurahua Province, Ecuador","EcoMinga Foundation, Via a Runtun, Ba\u00f1os, Tungurahua Province, Ecuador"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EcoMinga Foundation, Via a Runtun, Ban\u0303os, Tungurahua Province, Ecuador","institution_ids":["https://openalex.org/I4405273780"]},{"raw_affiliation_string":"EcoMinga Foundation, Via a Runtun, Ba\u00f1os, Tungurahua Province, Ecuador","institution_ids":["https://openalex.org/I4405273780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003229507","display_name":"Anne Chao","orcid":"https://orcid.org/0000-0002-4364-8101","observed_orcids":["https://orcid.org/0000-0002-4364-8101"]},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Anne Chao","raw_affiliation_strings":["Institute of Statistics, National Tsing Hua University, Hsin-Chu, Taiwan 30043"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsin-Chu, Taiwan 30043","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003229507"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":{"value":3970,"currency":"USD","value_usd":3970},"apc_paid":null,"fwci":8.41,"has_fulltext":false,"cited_by_count":146,"citation_normalized_percentile":{"value":0.9824589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"84","issue":"1","first_page":"21","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10005","display_name":"Ecology and Vegetation Dynamics Studies","score":0.9839000105857849,"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"}},"topics":[{"id":"https://openalex.org/T10005","display_name":"Ecology and Vegetation Dynamics Studies","score":0.9839000105857849,"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/T11791","display_name":"Microbial Community Ecology and Physiology","score":0.005900000222027302,"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/T11354","display_name":"Evolution and Paleontology Studies","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phylogenetic-beta-diversity","display_name":"phylogenetic beta diversity","score":0.984000027179718},{"id":"https://openalex.org/keywords/hill-numbers","display_name":"Hill numbers","score":0.8989999890327454},{"id":"https://openalex.org/keywords/rao-s-quadratic-entropy","display_name":"Rao's quadratic entropy","score":0.7919999957084656},{"id":"https://openalex.org/keywords/jaccard-similarity","display_name":"Jaccard similarity","score":0.6610000133514404},{"id":"https://openalex.org/keywords/srensen-index","display_name":"S\u00f8rensen index","score":0.9470000267028809},{"id":"https://openalex.org/keywords/species-abundance","display_name":"species abundance","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.842853307723999},{"id":"https://openalex.org/C98722961","wikidata":"https://www.wikidata.org/wiki/Q7189436","display_name":"Phylogenetic diversity","level":4,"score":0.6984744668006897},{"id":"https://openalex.org/C4229131","wikidata":"https://www.wikidata.org/wiki/Q1449519","display_name":"Gamma diversity","level":4,"score":0.5637696981430054},{"id":"https://openalex.org/C90132467","wikidata":"https://www.wikidata.org/wiki/Q171184","display_name":"Phylogenetics","level":3,"score":0.43637198209762573},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.4098460078239441},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.4001716673374176},{"id":"https://openalex.org/C25147867","wikidata":"https://www.wikidata.org/wiki/Q36039","display_name":"Beta diversity","level":3,"score":0.36525633931159973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3572889268398285},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.348391592502594},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.22257357835769653},{"id":"https://openalex.org/C53565203","wikidata":"https://www.wikidata.org/wiki/Q17146659","display_name":"Species richness","level":2,"score":0.1970759630203247},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.11838740110397339},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1890/12-0960.1","doi":"https://doi.org/10.1890/12-0960.1","is_oa":false,"landing_page_url":"https://doi.org/10.1890/12-0960.1","pdf_url":null,"source":{"id":"https://openalex.org/S201386569","display_name":"Ecological Monographs","issn_l":"0012-9615","issn":["0012-9615","1557-7015"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ecological Monographs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W172627365","https://openalex.org/W1500023561","https://openalex.org/W1831197195","https://openalex.org/W1837129176","https://openalex.org/W1972168066","https://openalex.org/W1976774266","https://openalex.org/W1983874169","https://openalex.org/W1984390786","https://openalex.org/W1985870639","https://openalex.org/W1986908574","https://openalex.org/W1988182864","https://openalex.org/W1992077007","https://openalex.org/W1992213430","https://openalex.org/W1992816747","https://openalex.org/W2004231421","https://openalex.org/W2006765530","https://openalex.org/W2014444740","https://openalex.org/W2015244881","https://openalex.org/W2018372041","https://openalex.org/W2019124067","https://openalex.org/W2022825068","https://openalex.org/W2027941603","https://openalex.org/W2030391896","https://openalex.org/W2039434090","https://openalex.org/W2039963291","https://openalex.org/W2040983088","https://openalex.org/W2049576858","https://openalex.org/W2057819145","https://openalex.org/W2061629400","https://openalex.org/W2061809107","https://openalex.org/W2067313282","https://openalex.org/W2078210981","https://openalex.org/W2079482842","https://openalex.org/W2090933635","https://openalex.org/W2103655054","https://openalex.org/W2103807119","https://openalex.org/W2106651885","https://openalex.org/W2108057700","https://openalex.org/W2112109829","https://openalex.org/W2114709340","https://openalex.org/W2118502404","https://openalex.org/W2120474334","https://openalex.org/W2124418252","https://openalex.org/W2127366570","https://openalex.org/W2127868542","https://openalex.org/W2129802470","https://openalex.org/W2129994723","https://openalex.org/W2130160238","https://openalex.org/W2144063472","https://openalex.org/W2145458268","https://openalex.org/W2145664556","https://openalex.org/W2151977147","https://openalex.org/W2152580867","https://openalex.org/W2152799977","https://openalex.org/W2166655850","https://openalex.org/W2170024099","https://openalex.org/W2171947644","https://openalex.org/W2263958071","https://openalex.org/W2297100025","https://openalex.org/W2318871708","https://openalex.org/W3041201303","https://openalex.org/W3145726875","https://openalex.org/W4229670787","https://openalex.org/W4230569245","https://openalex.org/W4238811048"],"related_works":["https://openalex.org/W6929876315","https://openalex.org/W2299709263","https://openalex.org/W1837129176","https://openalex.org/W2103655054","https://openalex.org/W2106651885","https://openalex.org/W4206554099","https://openalex.org/W2124418252","https://openalex.org/W3080236347","https://openalex.org/W1536849902","https://openalex.org/W2604771577"],"abstract_inverted_index":{"Until":[0],"now,":[1],"decomposition":[2],"of":[3,25,41,59,68,97,116,243,251,273,334],"abundance\u2010sensitive":[4],"gamma":[5,123,219,244],"(regional)":[6],"phylogenetic":[7,26,39,98,114,124,151,188,203,218,239,294,315,325,332],"diversity":[8,164,220,241,316],"measures":[9,136,165,247,259,277,310],"into":[10,180,225],"alpha":[11,227],"and":[12,15,52,82,100,139,228,264,296,299,308,327,340,344],"beta":[13,81,229,240,257],"(within\u2010":[14],"between\u2010group)":[16],"components":[17,182],"has":[18],"been":[19],"based":[20,111,221],"on":[21,112,222,324],"an":[22],"additive":[23,34,66,80,185,293],"partitioning":[24,67,179],"generalized":[27,70,152],"entropies,":[28],"especially":[29],"Rao's":[30],"quadratic":[31,75],"entropy.":[32],"This":[33,256],"approach":[35,56],"led":[36],"to":[37,91,170,215,234,245,269,289],"a":[38,287,322],"measure":[40,85,110],"differentiation":[42,84,109,261,276,297,309,328],"between":[43],"assemblages:":[44],"(gamma":[45,86],"\u2212":[46,87],"alpha)/gamma.":[47],"We":[48,284,318],"show":[49,213,301],"both":[50],"empirically":[51],"theoretically":[53],"that":[54,162,206,302],"this":[55,303],"inherits":[57],"all":[58],"the":[60,65,79,83,108,113,157,163,193,208,217,248,280,291,305,335],"problems":[61,198],"recently":[62],"identified":[63],"in":[64,102,192],"non\u2010phylogenetic":[69,134,194],"entropies.":[71],"When":[72],"within\u2010assemblage":[73],"(alpha)":[74],"entropy":[76,118,125,141],"is":[77,126,183],"high,":[78],"alpha)/gamma":[88],"always":[89,119],"tend":[90],"zero":[92,121],"(implying":[93],"no":[94],"differentiation)":[95],"regardless":[96],"structures":[99],"differences":[101],"species":[103,171],"abundances":[104],"across":[105],"assemblages.":[106,255],"Likewise,":[107],"generalization":[115],"Shannon":[117,140],"approaches":[120],"whenever":[122],"high.":[127],"Such":[128],"critical":[129],"flaws,":[130],"inherited":[131],"from":[132,313],"their":[133,177],"parent":[135],"(Gini\u2010Simpson":[137],"index":[138],"respectively),":[142],"have":[143],"caused":[144],"interpretational":[145,197],"problems.":[146],"These":[147],"flaws":[148],"arise":[149],"because":[150],"entropies":[153],"do":[154],"not":[155,184],"obey":[156,207],"replication":[158,209],"principle,":[159],"which":[160,231],"ensures":[161],"are":[166,199,347],"linear":[167],"with":[168],"respect":[169],"addition":[172],"or":[173,275],"group":[174],"pooling.":[175],"Furthermore,":[176],"complete":[178],"independent":[181,226],"(except":[186],"for":[187,349],"entropy).":[189],"Just":[190],"as":[191],"case,":[195],"these":[196],"resolved":[200],"by":[201],"using":[202],"Hill":[204,223],"numbers":[205,224],"principle.":[210],"Here":[211],"we":[212,300,311],"how":[214],"partition":[216],"components,":[230],"turn":[232],"out":[233],"be":[235,267],"multiplicative.":[236],"The":[237],"resulting":[238],"(ratio":[242],"alpha)":[246],"effective":[249],"number":[250],"completely":[252],"phylogenetically":[253],"distinct":[254],"component":[258],"pure":[260],"among":[262],"assemblages":[263],"thus":[265,319],"can":[266,320],"used":[268,348],"construct":[270],"several":[271],"classes":[272],"similarity":[274,295,307,326],"normalized":[278],"onto":[279],"range":[281],"[0,":[282],"1].":[283],"also":[285],"propose":[286],"normalization":[288],"fix":[290],"traditional":[292],"measures,":[298,329],"yields":[304],"same":[306],"derived":[312],"multiplicative":[314],"partitioning.":[317],"achieve":[321],"consensus":[323],"including":[330],"N\u2010assemblage":[331],"generalizations":[333],"classic":[336],"Jaccard,":[337],"S\u00f8rensen,":[338],"Horn,":[339],"Morisita\u2010Horn":[341],"measures.":[342],"Hypothetical":[343],"real":[345],"examples":[346],"illustration.":[350]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}