Volume 30 - Article 48 | Pages 1367–1396
Why do lifespan variability trends for the young and old diverge? A perturbation analysis
References
Barlow, Jay and Boveng, Peter (1991). MODELING AGE-SPECIFIC MORTALITY FOR MARINE MAMMAL POPULATIONS. Marine Mammal Science 7(1): 50-65.
Weblink | doi:10.1111/j.1748-7692.1991.tb00550.x |
Download reference in | RIS | BibTeX |
Brown, Dustin C., Hayward, Mark D., Montez, JenniferKaras, Hummer, RobertA., Chiu, Chi-Tsun, and Hidajat, MiraM. (2012). The Significance of Education for Mortality Compression in the United States. Demography 49(3): 819-840.
Weblink | doi:10.1007/s13524-012-0104-1 |
Download reference in | RIS | BibTeX |
Canudas-Romo, Vladimir (2008). The modal age at death and the shifting mortality hypothesis. Demographic Research 19(30): 1179-1204.
Weblink | doi:10.4054/DemRes.2008.19.30 |
Download reference in | RIS | BibTeX |
Canudas-Romo, Vladimir and Engelman, Michal (2009). Maximum life expectancies: revisiting the best practice trends. Genus 65(1): 59-79.
Download reference in | RIS | BibTeX |
Canudas-Romo, Vladimir and Schoen, Robert (2005). Age-specific contributions to changes in the period and cohort life expectancy. Demographic Research 13(3): 63-82.
Weblink | doi:10.4054/DemRes.2005.13.3 |
Download reference in | RIS | BibTeX |
Caswel, Hal (2006). Applications of Markov chains in demography. In: Langville, A. and Stewart, W. (eds.). MAM 2006: An International Conference to Celebrate the 150th Anniversary of the Birth of A.A. Markov. Raleigh, North Carolina: Boson Books: 319-334.
Download reference in | RIS | BibTeX |
Caswell, Hal (1978). A general formula for the sensitivity of population growth rate to changes in life history parameters. Theoretical Population Biology 14(2): 215 - 230.
Weblink | doi:10.1016/0040-5809(78)90025-4 |
Download reference in | RIS | BibTeX |
Caswell, Hal (2008). Perturbation analysis of nonlinear matrix population models. Demographic Research 18(3): 59-116.
Weblink | doi:10.4054/DemRes.2008.18.3 |
Download reference in | RIS | BibTeX |
Caswell, Hal (2009). Stage, age and individual stochasticity in demography. Oikos 118(12): 1763-1782.
Weblink | doi:10.1111/j.1600-0706.2009.17620.x |
Download reference in | RIS | BibTeX |
Caswell, Hal (2010). Perturbation analysis of longevity using matrix calculus. Paper presented at the 2010 meeting of the Population Association of America, Dallas, Texas.
Download reference in | RIS | BibTeX |
Caswell, Hal (2013). Sensitivity analysis of discrete Markov chains via matrix calculus. Linear Algebra and its Applications 438(4): 1727 - 1745.
Weblink | doi:10.1016/j.laa.2011.07.046 |
Download reference in | RIS | BibTeX |
Cheung, Siu Lan Karen, Robine, Jean-Marie, Tu, Edward Jow-Ching, and Caselli, Graziella (2005). Three Dimensions of the Survival Curve: Horizontalization, Verticalization, and Longevity Extension. Demography 42(2): 243-258.
Download reference in | RIS | BibTeX |
Chiang, C.L. (1984). The life table and its applications. Malabar: Krieger Pub. Co.
Download reference in | RIS | BibTeX |
de Moivre, A. (1725). Annuities Upon Lives: Or, the Valuation of Annuities Upon Any Number of Lives; as Also, of Reversions. London: W. P. and sold by Francis Fayram and Benj. Motte; and W. Pearson.
Download reference in | RIS | BibTeX |
Demetrius, Lloyd (1969). The sensitivity of population growth rate to pertubations in the life cycle components. Mathematical Biosciences 4(1–2): 129 - 136.
Weblink | doi:10.1016/0025-5564(69)90009-1 |
Download reference in | RIS | BibTeX |
Edwards, Ryan D. and Tuljapurkar, Shripad (2005). Inequality in Life Spans and a New Perspective on Mortality Convergence Across Industrialized Countries. Population and Development Review 31(4): 645-674.
Weblink | doi:10.1111/j.1728-4457.2005.00092.x |
Download reference in | RIS | BibTeX |
Engelman, M., Canudas-Romo, V., and Agree, E.M. (2013). Frailty in transition: Vulnerability and variation in aging populations. Madison, Wisconsin: Center for Demography and Ecology (CDE Working Paper No. 2013-10).
Download reference in | RIS | BibTeX |
Engelman, Michal, Canudas-Romo, Vladimir, and Agree, Emily M. (2010). The Implications of Increased Survivorship for Mortality Variation in Aging Populations. Population and Development Review 36(3): 511-539.
Weblink | doi:10.1111/j.1728-4457.2010.00344.x |
Download reference in | RIS | BibTeX |
Fries, James F. (1980). Aging, Natural Death, and the Compression of Morbidity. New England Journal of Medicine 303(3): 130-135.
Weblink | doi:10.1056/nejm198007173030304 |
Download reference in | RIS | BibTeX |
Gage, Timothy B. (1991). Causes of death and the components of mortality: Testing the biological interpretations of a competing hazards model. American Journal of Human Biology 3(3): 289-300.
Weblink | doi:10.1002/ajhb.1310030308 |
Download reference in | RIS | BibTeX |
Gage, Timothy B. (1998). THE COMPARATIVE DEMOGRAPHY OF PRIMATES: With Some Comments on the Evolution of Life Histories. Annual Review of Anthropology 27(1): 197-221.
Weblink | doi:10.1146/annurev.anthro.27.1.197 |
Download reference in | RIS | BibTeX |
Gage, Timothy B. and Dyke, B. (1986). Parameterizing Abridged Mortality Tables: The Siler Three-Component Hazard Model. Human Biology 58(2): 275-291.
Download reference in | RIS | BibTeX |
Gage, Timothy B.. and Mode, C.J. (1993). Some Laws of Mortality: How Well Do They Fit? Human Biology 65(3): pp. 445-461.
Download reference in | RIS | BibTeX |
Gillespie, D.O.S., Trotter, M. V., and Tuljapurkar, S. D. (2014). Divergence in age-patterns of mortality change drives international divergence in lifespan inequality. Demography, in press .
Download reference in | RIS | BibTeX |
Goldstein, Joshua R. and Wachter, Kenneth W. (2006). Relationships between period and cohort life expectancy: Gaps and lags. Population Studies 60(3): 257-269.
Weblink | doi:10.1080/00324720600895876 |
Download reference in | RIS | BibTeX |
Gompertz, Benjamin (1825). On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies. Philosophical Transactions of the Royal Society of London 115: 513-583.
Weblink | doi:10.1098/rstl.1825.0026 |
Download reference in | RIS | BibTeX |
Goodman, Leo A. (1971). On the sensitivity of the intrinsic growth rate to changes in the age-specific birth and death rates. Theoretical Population Biology 2(3): 339 - 354.
Weblink | doi:10.1016/0040-5809(71)90025-6 |
Download reference in | RIS | BibTeX |
Halley, E. (1692). An Estimate of the Degrees of the Mortality of Mankind. Philosophical Transactions 196(3): 596-610 and 654-656.
Download reference in | RIS | BibTeX |
Hartmann, M. (1987). Past and recent attempts to model mortality at all ages. Journal of Official Statistics 3(1): 19-36.
Download reference in | RIS | BibTeX |
HMD (2013). The Human Mortality Database [electronic resource]. University of California, Berkeley, and Max Planck Institute for Demographic Research (Germany).
Weblink | www.mortality.org |
Download reference in | RIS | BibTeX |
Kannisto, Vaino (2001). Mode and Dispersion of the Length of Life. Population: An English Selection 13(1): 159-171.
Download reference in | RIS | BibTeX |
Keyfitz, N. (1977). Applied mathematical demography. New York: Wiley.
Download reference in | RIS | BibTeX |
Keyfitz, N. and Caswell., H. (2005). Applied mathematical demography. New York: Springer-Verlag.
Download reference in | RIS | BibTeX |
Keyfitz, Nathan (1971). Linkages of Intrinsic to Age-Specific Rates. Journal of the American Statistical Association 66(334): 275-281.
Download reference in | RIS | BibTeX |
Keyfitz, Nathan (1984). Choice of function for mortality analysis: Effective forecasting depends on a minimum parameter representation. In: Vallin, J. , Pollard, J.H. , and Heligman, L. (eds.). Methodologies for the collection and analysis of mortality data: proceedings of a seminar at Dakar, Senegal, July 7-10, 1981. Liege, Belgium: Ordina Editions: 225-243.
Download reference in | RIS | BibTeX |
Lexis, W. (1878). Sur la duree normale de la vie humaine et sur la theorie de la stabilite des rapports statistiques. Annales de demographie internationale 11(2): 447-462.
Download reference in | RIS | BibTeX |
Magnus, J.R. and Neudecker, H. (1988). Matrix Differential Calculus with Applications in Statistics and Econometrics. New York: John Wiley & Sons.
Download reference in | RIS | BibTeX |
Myers, G. C. and Manton, K. G. (1984). Compression of mortality: Myth or reality? The Gerontologist 24(4): 346-353.
Download reference in | RIS | BibTeX |
Nash, John C. and Varadhan, Ravi. Unifying Optimization Algorithms to Aid Software System Users: optimx for R. Journal of Statistical Software 43(09).
Download reference in | RIS | BibTeX |
Olshansky, S. Jay and Carnes, Bruce A. (1997). Ever Since Gompertz. Demography 34(1): 1-15.
Download reference in | RIS | BibTeX |
Pearl, Raymond and Parker, Sylvia Louise (1921). Experimental Studies on the Duration of Life. I. Introductory Discussion of the Duration of Life in Drosophila. The American Naturalist 55(641): 481-509.
Download reference in | RIS | BibTeX |
Pollard, J. H (1991). FUN WITH GOMPERTZ. Genus 47(1/2): 1-20.
Download reference in | RIS | BibTeX |
Pollard, J. H. (1982). The expectation of life and its relationship to mortality. Journal of the Institute of Actuaries 109: 225-240.
Weblink | doi:10.1017/s0020268100036258 |
Download reference in | RIS | BibTeX |
Rau, Roland, Soroko, Eugeny, Jasilionis, Domantas, and Vaupel, James W. (2008). Continued Reductions in Mortality at Advanced Ages. Population and Development Review 34(4): 747-768.
Weblink | doi:10.1111/j.1728-4457.2008.00249.x |
Download reference in | RIS | BibTeX |
Robine, Jean-Marie (2001). Redefining the Stages of the Epidemiological Transition by a Study of the Dispersion of Life Spans: The Case of France. Population: An English Selection 13(1): 173-193.
Download reference in | RIS | BibTeX |
Ryder, Norman B. (1975). Notes on Stationary Populations. Population Index 41(1): 3-28.
Weblink | doi:10.2307/2734140 |
Download reference in | RIS | BibTeX |
Siler, William (1979). A Competing-Risk Model for Animal Mortality. Ecology 60(4): 750-757.
Weblink | doi:10.2307/1936612 |
Download reference in | RIS | BibTeX |
Smith, D.P. and Keyfitz, N. (1977). Mathematical Demography: Selected Papers. New York: Springer Verlag.
Weblink | doi:10.1007/978-3-642-81046-6 |
Download reference in | RIS | BibTeX |
Thatcher, A.R., Kannisto, V., and Vaupel, J.W. (1998). The Force of Mortality at Ages 80 to 120. Odense, Denmark: Odense University Press.
Download reference in | RIS | BibTeX |
Thiele, T. N. (1871). On a Mathematical Formula to express the Rate of Mortality throughout the whole of Life. Journal of the Institute of Actuaries and Assurance Magazine 16(5): 313-329.
Download reference in | RIS | BibTeX |
Tuljapurkar, Shripad and Edwards, Ryan D. (2011). Variance in death and its implications for modeling and forecasting mortality. Demographic Research 24(21): 497-526.
Weblink | doi:10.4054/DemRes.2011.24.21 |
Download reference in | RIS | BibTeX |
van Raalte, Alyson A, Kunst, Anton E, Deboosere, Patrick, Leinsalu, Mall, Lundberg, Olle, Martikainen, Pekka, Strand, Bjørn Heine, Artnik, Barbara, Wojtyniak, Bogdan, and Mackenbach, Johan P (2011). More variation in lifespan in lower educated groups: evidence from 10 European countries. International Journal of Epidemiology 40(6): 1703-1714.
Weblink | doi:10.1093/ije/dyr146 |
Download reference in | RIS | BibTeX |
van Raalte, AlysonA. and Caswell, Hal (2013). Perturbation Analysis of Indices of Lifespan Variability. Demography 50(5): 1615-1640.
Weblink | doi:10.1007/s13524-013-0223-3 |
Download reference in | RIS | BibTeX |
Vaupel, J.W. (1986). How change in age-specific mortality affects life expectancy. Population Studies 40: 147-157.
Download reference in | RIS | BibTeX |
Vaupel, J.W. (2010). Biodemography of human ageing. Nature 464(7288): 536-542.
Weblink | doi:10.1038/nature08984 |
Download reference in | RIS | BibTeX |
Vaupel, J.W. and Yashin, A. I. (1985). Heterogeneity's ruses: Some surprising effects of selection on population dynamics. The American Statistician 39(3): 176-185.
Download reference in | RIS | BibTeX |
Vaupel, James W., Carey, James R., Christensen, Kaare, Johnson, Thomas E., Yashin, Anatoli I., Holm, Niels V., Iachine, Ivan A., Kannisto, Väinö, Khazaeli, Aziz A., Liedo, Pablo, Longo, Valter D., Zeng, Yi, Manton, Kenneth G., and Curtsinger, James W. (1998). Biodemographic Trajectories of Longevity. Science 280(5365): 855-860.
Weblink | doi:10.1126/science.280.5365.855 |
Download reference in | RIS | BibTeX |
Vaupel, JamesW., Manton, KennethG., and Stallard, Eric (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16(3): 439-454.
Weblink | doi:10.2307/2061224 |
Download reference in | RIS | BibTeX |
Wilmoth, J. R., Deegan, L. J., Lundström, H., and Horiuchi, S. (2000). Increase of Maximum Life-Span in Sweden, 1861-1999. Science 289(5488): 2366-2368.
Weblink | doi:10.1126/science.289.5488.2366 |
Download reference in | RIS | BibTeX |
Wilmoth, John R. and Horiuchi, Shiro (1999). Rectangularization revisited: Variability of age at death within human populations. Demography 36(4): 475-495.
Weblink | doi:10.2307/2648085 |
Download reference in | RIS | BibTeX |
Wrycza, Tomasz and Baudisch, Annette (2012). How life expectancy varies with perturbations in age-specific mortality. Demographic Research 8(13): 365-376.
Weblink | doi:10.4054/DemRes.2012.27.13 |
Download reference in | RIS | BibTeX |
Zhang, Zhen and Vaupel, James W. (2009). The age separating early deaths from late deaths. Demographic Research 8(29): 721-730.
Weblink | doi:10.4054/DemRes.2009.20.29 |
Download reference in | RIS | BibTeX |
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