Beyond the Gompertz law: exploring the late-life mortality deceleration phenomenon

References

• Bebbington , M. , Lai , C. D. and Zitikis , R. 2007 . Modeling human mortality using mixtures of bathtub shaped failure distributions . Journal of Theoretical Biology , 245 : 528 – 538 .
   PubMed Web of Science ®Google Scholar
• Bebbington , M. , Goddard , M. , Lai , C. D. and Zitikis , R. 2009 . Identifying health inequalities between Māori and Non-Māori using mortality tables . Kōtuitui: New Zealand Journal of Social Sciences Online , 4 : 103 – 114 .
   Google Scholar
• Bebbington , M. , Lai , C. D. and Zitikis , R. 2011 . Modelling deceleration in senescent mortality . Mathematical Population Studies , 18 : 18 – 37 .
   Web of Science ®Google Scholar
• Bell , F. C. & Miller , M. L. 2005 . Life tables for the United States Social Security Area 1900–2100 . SSA Pub. No. 11-11536 , Social Security Administration , USA .
   Google Scholar
• Bongaarts , J. 2005 . Long-range trends in adult mortality: Models & projection methods . Demography , 42 : 23 – 49 .
   PubMed Web of Science ®Google Scholar
• Bongaarts , J. 2009 . Trends in senescent life expectancy . Population Studies , 63 : 203 – 213 .
   PubMed Web of Science ®Google Scholar
• Booth , H. , Maindonald , J. and Smith , L. 2002 . Applying Lee-Carter under conditions of variable mortality decline . Population Studies , 56 : 325 – 336 .
   PubMed Web of Science ®Google Scholar
• Bowers , N. L. Jr , Gerber , H. U. , Hickman , J. C. , Jones , D. A. and Nesbitt , C. J. 1997 . Actuarial mathematics , Schaumburg , IL : Society of Actuaries .
   Google Scholar
• Buettner , T. 2002 . Approaches & experiences in projecting mortality patterns for the oldest-old . North American Actuarial Journal , 6 : 14 – 29 .
   Google Scholar
• Cairns , A. J. G. , Blake , D. and Dowd , K. 2008 . Modelling and management of mortality risk: A review . Scandinavian Actuarial Journal , 2–3 : 79 – 113 .
   Web of Science ®Google Scholar
• Cairns , A. J. G. , Blake , D. , Dowd , K. , Coughlan , G. D. , Epstein , D. , Ong , A. and Balevich , I. 2009 . A quantitative comparison of stochastic mortality models using data from England & Wales & the United States . North American Actuarial Journal , 13 : 1 – 35 .
   Google Scholar
• Carey , J. R. , Liedo , P. , Orozco , D. and Vaupel , J. W. 1992 . Slowing of mortality rates at older ages in large medfly cohorts . Science , 258 : 457 – 461 .
   PubMed Web of Science ®Google Scholar
• Farrar , S. and Moizer , J. D. 2010 . How long might the younger-old live: A predictive model . Futures , 42 : 212 – 218 .
   Web of Science ®Google Scholar
• Flynn , F. 2010 . Missing centenarians revive concerns about Japan's flawed pension records . Bloomberg L. P., August 4, 2010. Available online at: http://www.bloomberg.com/news/2010-08-04/missing-centenarians-revive-concern-about-japan-s-flawed-pension-records.html
   Google Scholar
• Gampe , J. 2010 . “ Human mortality beyond age 110 ” . In Supercentenarians, Demographic Research Monographs , Edited by: Maier , H. Berlin : Springer-Verlag, pp. 219–230 .
   Google Scholar
• Golubev , A. 2009 . How could the Gompertz-Makeham law evolve . Journal of Theoretical Biology , 258 : 1 – 17 .
   PubMed Web of Science ®Google Scholar
• Gompertz , B. 1825 . On the nature of the function expressive of the law of human mortality, & on a new mode of determining the value of life contingencies . Philosophical Transactions of the Royal Society of London , 115 : 513 – 585 .
   Google Scholar
• Hallen , A. 2009 . Makeham's addition to the Gompertz law re-evaluated . Biogerontology , 10 : 517 – 522 .
   PubMed Web of Science ®Google Scholar
• Heligman , L. and Pollard , J. H. 1980 . The age pattern of mortality . Journal of the Institute of Actuaries , 107 : 49 – 80 .
   Google Scholar
• Himes , C. L. , Preston , S. H. and Condran , G. A. 1994 . A relational model of mortality at older ages in low mortality countries . Population Studies , 48 : 269 – 291 .
   Web of Science ®Google Scholar
• Horiuchi , S. 2003 . Interspecies differences in the life span distribution: Humans versus invertebrates . Population & Development Review , 29 ( Suppl. ) : 127 – 151 .
   Google Scholar
• Horiuchi , S. and Wilmoth , J. R. 1998 . Deceleration in the age pattern of mortality at older ages . Demography , 35 : 391 – 412 .
   PubMed Web of Science ®Google Scholar
• Human Mortality Database 2010 . University of California, Berkeley (USA), & Max Planck Institute for Demographic Research (Germany) . Available online at: www.mortality.org or www.humanmortality.de ( data downloaded on July 5, 2010 ).
   Google Scholar
• Jarner , S. F. , Kryger , E. M. and Dengsoe , C. 2008 . The evolution of death rates & life expectancy in Denmark . Scandinavian Actuarial Journal , 2008 : 147 – 173 .
   Web of Science ®Google Scholar
• Kannisto-Thatcher Database on Old Age Mortality 2010 . Max Planck Institute for Demographic Research (Germany) . Available online at: http://www.demogr.mpg.de/databases/ktdb/ ( data downloaded on July 5, 2010 ).
   Google Scholar
• Klemera , P. and Doubal , S. 1997 . Human mortality at very advanced age might be constant . Mechanisms of Ageing & Development , 98 : 167 – 176 .
   PubMed Web of Science ®Google Scholar
• Lai , C. D. and Xie , M. 2006 . Stochastic ageing & dependence for reliability , New York : Springer .
   Google Scholar
• Lee , R. and Carter , L. 1992 . Modelling & forecasting U.S. mortality . Journal of the American Statistical Association , 87 : 659 – 671 .
   Web of Science ®Google Scholar
• Li , J. S. H. , Ng , A. C. Y. and Chan , W. S. 2011 . Modeling old-age mortality risk for the populations of Australia & New Zealand: An extreme value approach . Mathematics & Computers in Simulation , 81 : 1325 – 1333 .
   Web of Science ®Google Scholar
• Lindbergson , M. 2001 . Mortality among the elderly in Sweden 1988–1997 . Scandinavian Actuarial Journal , 1 : 79 – 94 .
   Google Scholar
• Makeham , W. M. 1867 . On the law of mortality . Journal of the Institute of Actuaries , 13 : 325 – 367 .
   Google Scholar
• Manton , K. G. , Akushevich , I. and Kulminski , A. 2008 . Human mortality at extreme ages. Data from the NLTCS & linked medicare records . Mathematical Population Studies , 15 : 137 – 159 .
   Web of Science ®Google Scholar
• Marshall , A. W. and Olkin , I. 2007 . Life distributions: Structure of nonparametric, semiparametric, and parametric families , New York : Springer .
   Google Scholar
• NYDailyNews 2009 . Japan's centenarian population passes 40,000 as more people live to be 100 . Available online at: http://www.nydailynews.com/lifestyle/health/2009/09/11/2009-09-11_japans_centenarian_population_passes_40000.html
   Google Scholar
• Pletcher , S. D. 1999 . Model fitting & hypothesis testing for age-specific mortality data . Journal of Evolutionary Biology , 12 : 430 – 439 .
   Web of Science ®Google Scholar
• Robine , J.-M. , Saito , Y. and Jagger , C. 2003 . The emergence of extremely old people: The case of Japan . Experimental Gerontology , 38 : 735 – 739 .
   PubMed Web of Science ®Google Scholar
• Steinsaltz , D. 2005 . Re-evaluating a test of the heterogeneity explanation for mortality plateaus . Experimental Gerontology , 40 : 101 – 113 .
   PubMed Web of Science ®Google Scholar
• Strehler , B. L. and Mildvan , A. S. 1960 . General theory of mortality and aging . Science , 132 : 14 – 21 .
   PubMed Web of Science ®Google Scholar
• Thatcher , A. R. 1999 . The long-term pattern of adult mortality & the highest attained age (with discussion) . Journal of the Royal Statistical Society A , 162 : 5 – 43 .
   PubMed Web of Science ®Google Scholar
• Vaupel , J. W. 2010 . Biodemography of human ageing . Nature , 464 : 536 – 542 .
   PubMed Web of Science ®Google Scholar
• Vaupel , J. W. , Carey , J. R. , Christensen , K. , Johnson , T. E. , Yashin , A. I. , Holm , N. V. , Iachine , I. A. , Kannisto , V. , Khazaeli , A. A. , Liedo , P. , Longo , V. D. , Zeng , Y. , Manton , K. G. and Curtsinger , J. W. 1998 . Biodemographic trajectories of longevity . Science , 280 : 855 – 860 .
   PubMed Web of Science ®Google Scholar
• Wong-Fupuy , C. and Haberman , S. 2004 . Projecting mortality trends: Recent developments in the United Kingdom & the United States . North American Actuarial Journal , 8 : 56 – 83 .
   Google Scholar