{"id":"https://openalex.org/W1964116145","doi":"https://doi.org/10.1080/08898489309525353","title":"Crossovers that link populations with the same vital rates*","display_name":"Crossovers that link populations with the same vital rates*","publication_year":1993,"publication_date":"1993-02-01","ids":{"openalex":"https://openalex.org/W1964116145","doi":"https://doi.org/10.1080/08898489309525353","mag":"1964116145","pmid":"https://pubmed.ncbi.nlm.nih.gov/12344656"},"language":"en","primary_location":{"id":"doi:10.1080/08898489309525353","doi":"https://doi.org/10.1080/08898489309525353","is_oa":false,"landing_page_url":"https://doi.org/10.1080/08898489309525353","pdf_url":null,"source":{"id":"https://openalex.org/S176781058","display_name":"Mathematical Population Studies","issn_l":"0889-8480","issn":["0889-8480","1547-724X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Population Studies","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"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/A5100387373","display_name":"Young Jin Kim","orcid":"https://orcid.org/0000-0002-4132-4437","observed_orcids":["https://orcid.org/0000-0002-4132-4437"]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Young J. Kim","raw_affiliation_strings":["Department of Population Dynamics, The Johns Hopkins University, Baltimore, MD, 21205"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Population Dynamics, The Johns Hopkins University, Baltimore, MD, 21205","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068634857","display_name":"Robert Schoen","orcid":"https://orcid.org/0000-0001-6889-9954","observed_orcids":["https://orcid.org/0000-0001-6889-9954"]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Schoen","raw_affiliation_strings":["Department of Population Dynamics, The Johns Hopkins University, Baltimore, MD, 21205"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Population Dynamics, The Johns Hopkins University, Baltimore, MD, 21205","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.2051202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.8227999806404114,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.8227999806404114,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.17020000517368317,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/crossover-point","display_name":"crossover point","score":0.4970000088214874},{"id":"https://openalex.org/keywords/stable-population","display_name":"stable population","score":0.6610000133514404},{"id":"https://openalex.org/keywords/age-distribution","display_name":"age distribution","score":0.5429999828338623},{"id":"https://openalex.org/keywords/generation-length","display_name":"generation length","score":0.765999972820282},{"id":"https://openalex.org/keywords/population-momentum","display_name":"population momentum","score":0.8040000200271606},{"id":"https://openalex.org/keywords/intrinsic-rate-of-increase","display_name":"intrinsic rate of increase","score":0.8600000143051147}],"concepts":[{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.6287819147109985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38951659202575684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34963226318359375},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.33644965291023254},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33288517594337463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27957063913345337},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19778063893318176}],"mesh":[{"descriptor_ui":"D000349","descriptor_name":"Africa","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000352","descriptor_name":"Africa, Northern","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000354","descriptor_name":"Africa, Western","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000569","descriptor_name":"Americas","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001208","descriptor_name":"Asia","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001519","descriptor_name":"Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003710","descriptor_name":"Demography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003906","descriptor_name":"Developing Countries","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005202","descriptor_name":"Asia, Eastern","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005298","descriptor_name":"Fertility","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005843","descriptor_name":"Geography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007564","descriptor_name":"Japan","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008722","descriptor_name":"Methods","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009026","descriptor_name":"Mortality","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009656","descriptor_name":"North America","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011153","descriptor_name":"Population","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011156","descriptor_name":"Population Density","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012106","descriptor_name":"Research","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014037","descriptor_name":"Togo","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014481","descriptor_name":"United States","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017954","descriptor_name":"Africa South of the Sahara","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019049","descriptor_name":"Developed Countries","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1080/08898489309525353","doi":"https://doi.org/10.1080/08898489309525353","is_oa":false,"landing_page_url":"https://doi.org/10.1080/08898489309525353","pdf_url":null,"source":{"id":"https://openalex.org/S176781058","display_name":"Mathematical Population Studies","issn_l":"0889-8480","issn":["0889-8480","1547-724X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Population Studies","raw_type":"journal-article"},{"id":"pmid:12344656","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12344656","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical population studies","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1964997706","https://openalex.org/W1987156004","https://openalex.org/W1992039752","https://openalex.org/W1994883069","https://openalex.org/W1998681317","https://openalex.org/W2002132385","https://openalex.org/W2056173312","https://openalex.org/W2060375790","https://openalex.org/W2077862756","https://openalex.org/W2288981668","https://openalex.org/W2540736298","https://openalex.org/W2608972675","https://openalex.org/W4206056346","https://openalex.org/W4302852577"],"related_works":["https://openalex.org/W2288981668","https://openalex.org/W101940531","https://openalex.org/W3196323757","https://openalex.org/W2469978128","https://openalex.org/W266944246","https://openalex.org/W2162126351","https://openalex.org/W2062479353","https://openalex.org/W2067176844","https://openalex.org/W1992039752","https://openalex.org/W1964997706"],"abstract_inverted_index":{"This":[0],"paper":[1],"looks":[2],"at":[3,132],"relationships":[4],"that":[5],"exist":[6],"among":[7],"an":[8,44,108],"observed":[9,45,78,109,127],"population":[10,46,65,110,122,130],"and":[11,47,67,76,95],"its":[12,48,77],"associated":[13],"model":[14],"populations":[15,29],"by":[16],"examining":[17],"\u201ccrossover\u201d;":[18],"points.":[19],"Crossovers":[20,51,139],"are":[21],"mean":[22],"ages":[23],"where":[24],"proportional":[25],"distributions":[26,42],"from":[27],"two":[28],"with":[30],"the":[31,40,68,90,103,113,124,133],"same":[32],"vital":[33],"rates":[34],"intersect,":[35],"for":[36],"example":[37],"curves":[38],"representing":[39],"age":[41],"of":[43,56,86,107,120,126],"stable":[49,73],"counterpart.":[50],"conceptually":[52],"unify":[53],"a":[54,71,121],"number":[55],"diverse":[57],"threads":[58],"in":[59],"mathematical":[60],"demography,":[61],"including":[62],"generation":[63,87],"length,":[64],"momentum,":[66],"relationship":[69],"between":[70],"population's":[72],"growth":[74,80,97,105],"rate":[75,98,106],"age\u2010specific":[79],"rates.":[81],"More":[82],"specifically,":[83],"Lotka's":[84],"length":[85],"T":[88],"is":[89,100,123],"stable\u2010stationary":[91],"birth":[92,115],"crossover":[93,116,137],"age,":[94],"intrinsic":[96],"r":[99],"equal":[101],"to":[102,112,128],"average":[104],"up":[111],"observed\u2010stable":[114],"age.":[117,138],"The":[118],"momentum":[119],"ratio":[125],"stationary":[129],"proportions":[131],"reproductive":[134],"value":[135],"function":[136],"thus":[140],"provide":[141],"useful":[142],"insights":[143],"into":[144],"demographic":[145],"relationships.":[146]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
