{"id":"https://openalex.org/W2299709263","doi":"https://doi.org/10.1007/978-3-319-22461-9_8","title":"Phylogenetic Diversity Measures and Their Decomposition: A Framework Based on Hill Numbers","display_name":"Phylogenetic Diversity Measures and Their Decomposition: A Framework Based on Hill Numbers","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2299709263","doi":"https://doi.org/10.1007/978-3-319-22461-9_8","mag":"2299709263"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-22461-9_8","doi":"https://doi.org/10.1007/978-3-319-22461-9_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-22461-9_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-22461-9_8.pdf","source":{"id":"https://openalex.org/S4210232381","display_name":"Topics in biodiversity and conservation","issn_l":"1875-1288","issn":["1875-1288","1875-1296"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Biodiversity and Conservation","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2500261090","display_name":"Biodiversity Conservation and Phylogenetic Systematics"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-22461-9_8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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, 30043, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsin-Chu, 30043, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","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/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 Tsing Hua University, Hsin-Chu, 30043, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsin-Chu, 30043, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","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, Ba\u00f1os, Tungurahua, Ecuador"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EcoMinga Foundation, Ba\u00f1os, Tungurahua, Ecuador","institution_ids":["https://openalex.org/I4405273780"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003229507"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":null,"apc_paid":null,"fwci":3.3236,"has_fulltext":true,"cited_by_count":84,"citation_normalized_percentile":{"value":0.90987409,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"141","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10005","display_name":"Ecology and Vegetation Dynamics Studies","score":0.9922000169754028,"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":0.9922000169754028,"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":0.0015999999595806003,"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":0.0005000000237487257,"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-diversity","display_name":"phylogenetic diversity","score":0.9660000205039978},{"id":"https://openalex.org/keywords/hill-numbers","display_name":"Hill numbers","score":0.996999979019165},{"id":"https://openalex.org/keywords/effective-number-of-species","display_name":"effective number of species","score":0.8650000095367432},{"id":"https://openalex.org/keywords/alpha-and-beta-diversity","display_name":"alpha and beta diversity","score":0.8539999723434448},{"id":"https://openalex.org/keywords/phylogenetic-affinities","display_name":"phylogenetic relatedness","score":0.746999979019165},{"id":"https://openalex.org/keywords/phylogenetic-divergence","display_name":"phylogenetic divergence","score":0.8709999918937683},{"id":"https://openalex.org/keywords/unifrac","display_name":"UniFrac","score":0.949999988079071},{"id":"https://openalex.org/keywords/jaccard-similarity","display_name":"Jaccard similarity","score":0.7990000247955322},{"id":"https://openalex.org/keywords/srensen-index","display_name":"S\u00f8rensen index","score":0.9599999785423279},{"id":"https://openalex.org/keywords/biodiversity-conservation","display_name":"biodiversity conservation","score":0.5569999814033508},{"id":"https://openalex.org/keywords/species-abundance","display_name":"species abundance","score":0.5550000071525574}],"concepts":[{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.8359785676002502},{"id":"https://openalex.org/C98722961","wikidata":"https://www.wikidata.org/wiki/Q7189436","display_name":"Phylogenetic diversity","level":4,"score":0.7975205183029175},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.4895833432674408},{"id":"https://openalex.org/C90132467","wikidata":"https://www.wikidata.org/wiki/Q171184","display_name":"Phylogenetics","level":3,"score":0.4583404064178467},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.444012850522995},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.43632107973098755},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.4273705780506134},{"id":"https://openalex.org/C189592816","wikidata":"https://www.wikidata.org/wiki/Q427626","display_name":"Taxonomic rank","level":3,"score":0.42385366559028625},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.2656506299972534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15669801831245422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14364659786224365},{"id":"https://openalex.org/C71640776","wikidata":"https://www.wikidata.org/wiki/Q16521","display_name":"Taxon","level":2,"score":0.1019950807094574},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-22461-9_8","doi":"https://doi.org/10.1007/978-3-319-22461-9_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-22461-9_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-22461-9_8.pdf","source":{"id":"https://openalex.org/S4210232381","display_name":"Topics in biodiversity and conservation","issn_l":"1875-1288","issn":["1875-1288","1875-1296"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Biodiversity and Conservation","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-22461-9_8","doi":"https://doi.org/10.1007/978-3-319-22461-9_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-22461-9_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-22461-9_8.pdf","source":{"id":"https://openalex.org/S4210232381","display_name":"Topics in biodiversity and conservation","issn_l":"1875-1288","issn":["1875-1288","1875-1296"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Biodiversity and Conservation","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life on land","score":0.9599999785423279}],"study_designs":[],"awards":[{"id":"https://openalex.org/G6480788479","display_name":"A Unified Mathematical and Statistical Framework for Quantifying and Analyzing Biodiversity: Species Diversity, Phylogenetic Diversity, Functional Diversity and Related Similarity/Differentiation Measures, with Applications to Taiwan Forest Dynamics","funder_award_id":"MOST103-2628-M007-007","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G7714903552","display_name":null,"funder_award_id":"100-2118-M007-006","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"}],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320323092","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2299709263.pdf","grobid_xml":"https://content.openalex.org/works/W2299709263.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1539550814","https://openalex.org/W1553554986","https://openalex.org/W1600653523","https://openalex.org/W1837129176","https://openalex.org/W1853989166","https://openalex.org/W1936774573","https://openalex.org/W1965716462","https://openalex.org/W1972750202","https://openalex.org/W1976774266","https://openalex.org/W1983874169","https://openalex.org/W1985870639","https://openalex.org/W1986908574","https://openalex.org/W1988625484","https://openalex.org/W1992213430","https://openalex.org/W1999008262","https://openalex.org/W1999273813","https://openalex.org/W2004231421","https://openalex.org/W2006690660","https://openalex.org/W2014444740","https://openalex.org/W2019124067","https://openalex.org/W2022825068","https://openalex.org/W2027941603","https://openalex.org/W2030391896","https://openalex.org/W2039434090","https://openalex.org/W2039516620","https://openalex.org/W2040983088","https://openalex.org/W2049576858","https://openalex.org/W2057819145","https://openalex.org/W2061629400","https://openalex.org/W2067313282","https://openalex.org/W2078210981","https://openalex.org/W2090933635","https://openalex.org/W2102384105","https://openalex.org/W2103655054","https://openalex.org/W2104767862","https://openalex.org/W2106607063","https://openalex.org/W2106651885","https://openalex.org/W2107430091","https://openalex.org/W2109628725","https://openalex.org/W2115186425","https://openalex.org/W2115237387","https://openalex.org/W2118502404","https://openalex.org/W2120108422","https://openalex.org/W2120474334","https://openalex.org/W2124418252","https://openalex.org/W2127868542","https://openalex.org/W2128797609","https://openalex.org/W2129802470","https://openalex.org/W2129875888","https://openalex.org/W2129994723","https://openalex.org/W2130160238","https://openalex.org/W2141846515","https://openalex.org/W2143739705","https://openalex.org/W2145458268","https://openalex.org/W2151977147","https://openalex.org/W2166655850","https://openalex.org/W2170024099","https://openalex.org/W2171947644","https://openalex.org/W2263958071","https://openalex.org/W2297100025","https://openalex.org/W2314964509","https://openalex.org/W2953607244","https://openalex.org/W3137224376","https://openalex.org/W4229670787","https://openalex.org/W4238811048"],"related_works":["https://openalex.org/W2141034720","https://openalex.org/W2468474182","https://openalex.org/W2106651885","https://openalex.org/W4387758078","https://openalex.org/W2115237387","https://openalex.org/W6929876315","https://openalex.org/W3080236347","https://openalex.org/W2507675920","https://openalex.org/W6967091519","https://openalex.org/W2224275575"],"abstract_inverted_index":{"Conservation":[0],"biologists":[1],"need":[2],"robust,":[3],"intuitive":[4],"mathematical":[5],"tools":[6,186],"to":[7,53,87,133,205,209,213,218,234,241],"quantify":[8],"and":[9,12,26,36,74,118,124,129,155,169,195,223,231],"assess":[10,191,242],"patterns":[11],"changes":[13],"in":[14,59,228],"biodiversity.":[15],"Here":[16],"we":[17],"review":[18,107],"some":[19],"commonly":[20,166],"used":[21,167],"abundance-based":[22],"species":[23,99,221,227],"diversity":[24,112,194,216],"measures":[25,35,92,113],"their":[27,37,119],"phylogenetic":[28,38,96,111,139,148,193,215,224,236,243],"generalizations.":[29],"Most":[30],"of":[31,68,78,110,137,150,185,197],"the":[32,44,65,71,79,90,103,108,134,151,165,192],"previous":[33],"abundance-sensitive":[34],"generalizations":[39,149],"lack":[40],"an":[41,229],"essential":[42],"property,":[43],"replication":[45,72,104],"principle":[46,73],"or":[47,55,64,141,245],"doubling":[48],"property.":[49],"This":[50],"often":[51],"leads":[52],"inconsistent":[54],"counter-intuitive":[56],"interpretations,":[57],"especially":[58],"conservation":[60],"applications.":[61],"Hill":[62,82,116],"numbers":[63,83,117],"\u201ceffective":[66],"number":[67],"species\u201d":[69],"obey":[70],"thus":[75],"resolve":[76],"many":[77],"interpretational":[80],"problems.":[81],"were":[84],"recently":[85],"extended":[86],"incorporate":[88],"phylogeny;":[89],"resulting":[91],"take":[93],"into":[94,121],"account":[95],"differences":[97],"between":[98],"while":[100],"still":[101],"satisfying":[102],"principle.":[105],"We":[106],"framework":[109,202],"based":[114],"on":[115],"decomposition":[120],"independent":[122],"alpha":[123],"beta":[125],"components.":[126],"Both":[127],"additive":[128],"multiplicative":[130],"decompositions":[131],"lead":[132],"same":[135],"classes":[136,145,162],"normalized":[138],"similarity":[140,237],"differentiation":[142],"measures.":[143,157],"These":[144],"include":[146,164],"multiple-assemblage":[147],"Jaccard,":[152],"S\u00f8rensen,":[153],"Horn":[154],"Morisita-Horn":[156],"For":[158],"two":[159],"assemblages,":[160],"these":[161],"also":[163],"UniFrac":[168],"PhyloS\u00f8r":[170],"indices":[171],"as":[172],"special":[173],"cases.":[174],"Our":[175,201],"approach":[176],"provides":[177],"a":[178,206],"mathematically":[179],"rigorous,":[180],"self-consistent,":[181],"ecologically":[182],"meaningful":[183],"set":[184],"for":[187],"conservationists":[188],"who":[189],"must":[190],"complementarity":[196],"potential":[198],"protected":[199],"areas.":[200],"is":[203],"applied":[204],"real":[207],"dataset":[208],"illustrate":[210],"(i)":[211],"how":[212,233],"use":[214,235],"profiles":[217,240],"completely":[219],"convey":[220],"abundances":[222],"information":[225],"among":[226,247],"assemblage;":[230],"(ii)":[232],"(or":[238],"differentiation)":[239],"resemblance":[244],"difference":[246],"multiple":[248],"assemblages.":[249]},"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}